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FStar.Pervasives.Lemma
val can_be_split_congr_r (p q r: vprop) : Lemma (requires (p `can_be_split` q)) (ensures ((r `star` p) `can_be_split` (r `star` q)))
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q))
val can_be_split_congr_r (p q r: vprop) : Lemma (requires (p `can_be_split` q)) (ensures ((r `star` p) `can_be_split` (r `star` q))) let can_be_split_congr_r p q r =
false
null
true
Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q))
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "FStar.Classical.forall_intro", "Steel.Memory.mem", "Prims.l_iff", "Steel.Memory.interp", "Steel.Memory.star", "Steel.Effect.Common.hp_of", "Prims.l_Exists", "Prims.l_and", "Steel.Memory.disjoint", "Prims.eq2", "Steel.Memory.join", "Steel.Memory.interp_star", "Prims.unit" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r))
false
false
Steel.Effect.Common.fst
{ "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" }
null
val can_be_split_congr_r (p q r: vprop) : Lemma (requires (p `can_be_split` q)) (ensures ((r `star` p) `can_be_split` (r `star` q)))
[]
Steel.Effect.Common.can_be_split_congr_r
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Effect.Common.vprop -> q: Steel.Effect.Common.vprop -> r: Steel.Effect.Common.vprop -> FStar.Pervasives.Lemma (requires Steel.Effect.Common.can_be_split p q) (ensures Steel.Effect.Common.can_be_split (Steel.Effect.Common.star r p) (Steel.Effect.Common.star r q))
{ "end_col": 58, "end_line": 42, "start_col": 2, "start_line": 41 }
Prims.Tot
[ { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()})
let h_exists #a f =
false
null
false
VUnit ({ hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> () })
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "total" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.VUnit", "Steel.Effect.Common.Mkvprop'", "Steel.Memory.h_exists", "Steel.Effect.Common.hp_of", "Steel.Memory.slprop", "Prims.unit", "Steel.Memory.hmem" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality
false
false
Steel.Effect.Common.fst
{ "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" }
null
val h_exists : f: (_: _ -> Steel.Effect.Common.vprop) -> Steel.Effect.Common.vprop
[]
Steel.Effect.Common.h_exists
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
f: (_: _ -> Steel.Effect.Common.vprop) -> Steel.Effect.Common.vprop
{ "end_col": 99, "end_line": 23, "start_col": 20, "start_line": 23 }
FStar.Pervasives.Lemma
val can_be_split_congr_l (p q r: vprop) : Lemma (requires (p `can_be_split` q)) (ensures ((p `star` r) `can_be_split` (q `star` r)))
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r))
val can_be_split_congr_l (p q r: vprop) : Lemma (requires (p `can_be_split` q)) (ensures ((p `star` r) `can_be_split` (q `star` r))) let can_be_split_congr_l p q r =
false
null
true
Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r))
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "FStar.Classical.forall_intro", "Steel.Memory.mem", "Prims.l_iff", "Steel.Memory.interp", "Steel.Memory.star", "Steel.Effect.Common.hp_of", "Prims.l_Exists", "Prims.l_and", "Steel.Memory.disjoint", "Prims.eq2", "Steel.Memory.join", "Steel.Memory.interp_star", "Prims.unit" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = ()
false
false
Steel.Effect.Common.fst
{ "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" }
null
val can_be_split_congr_l (p q r: vprop) : Lemma (requires (p `can_be_split` q)) (ensures ((p `star` r) `can_be_split` (q `star` r)))
[]
Steel.Effect.Common.can_be_split_congr_l
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Effect.Common.vprop -> q: Steel.Effect.Common.vprop -> r: Steel.Effect.Common.vprop -> FStar.Pervasives.Lemma (requires Steel.Effect.Common.can_be_split p q) (ensures Steel.Effect.Common.can_be_split (Steel.Effect.Common.star p r) (Steel.Effect.Common.star q r))
{ "end_col": 58, "end_line": 38, "start_col": 2, "start_line": 37 }
Prims.Tot
val emp':vprop'
[ { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()}
val emp':vprop' let emp':vprop' =
false
null
false
{ hp = emp; t = unit; sel = fun _ -> () }
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "total" ]
[ "Steel.Effect.Common.Mkvprop'", "Steel.Memory.emp", "Prims.unit", "Steel.Memory.hmem" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h)
false
true
Steel.Effect.Common.fst
{ "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" }
null
val emp':vprop'
[]
Steel.Effect.Common.emp'
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
Steel.Effect.Common.vprop'
{ "end_col": 21, "end_line": 60, "start_col": 4, "start_line": 58 }
FStar.Pervasives.Lemma
val cm_identity (x:vprop) : Lemma ((emp `star` x) `equiv` x)
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp
val cm_identity (x:vprop) : Lemma ((emp `star` x) `equiv` x) let cm_identity x =
false
null
true
Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "Steel.Memory.star_commutative", "Steel.Effect.Common.hp_of", "Steel.Memory.emp", "Prims.unit", "Steel.Memory.emp_unit" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = ()
false
false
Steel.Effect.Common.fst
{ "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" }
null
val cm_identity (x:vprop) : Lemma ((emp `star` x) `equiv` x)
[]
Steel.Effect.Common.cm_identity
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
x: Steel.Effect.Common.vprop -> FStar.Pervasives.Lemma (ensures Steel.Effect.Common.equiv (Steel.Effect.Common.star Steel.Effect.Common.emp x) x)
{ "end_col": 40, "end_line": 109, "start_col": 2, "start_line": 108 }
Prims.Tot
val vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p))
[ { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p)) = fun (h: Mem.hmem (vrefine_hp v p)) -> interp_refine_slprop (hp_of v) (vrefine_am v p) h; sel_of v h
val vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p)) let vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p)) =
false
null
false
fun (h: Mem.hmem (vrefine_hp v p)) -> interp_refine_slprop (hp_of v) (vrefine_am v p) h; sel_of v h
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "total" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.t_of", "Prims.prop", "Steel.Memory.hmem", "Steel.Effect.Common.vrefine_hp", "Steel.Effect.Common.sel_of", "Prims.unit", "Steel.Memory.interp_refine_slprop", "Steel.Effect.Common.hp_of", "Steel.Effect.Common.vrefine_am", "Steel.Effect.Common.vrefine_t", "Steel.Effect.Common.selector'" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp let star_commutative p1 p2 = Mem.star_commutative (hp_of p1) (hp_of p2) let star_associative p1 p2 p3 = Mem.star_associative (hp_of p1) (hp_of p2) (hp_of p3) let star_congruence p1 p2 p3 p4 = Mem.star_congruence (hp_of p1) (hp_of p2) (hp_of p3) (hp_of p4) let vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v)) = fun h -> p (sel_of v h) let vrefine_hp v p = refine_slprop (hp_of v) (vrefine_am v p) let interp_vrefine_hp v p m = () let vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p))
false
false
Steel.Effect.Common.fst
{ "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" }
null
val vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p))
[]
Steel.Effect.Common.vrefine_sel'
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
v: Steel.Effect.Common.vprop -> p: (_: Steel.Effect.Common.t_of v -> Prims.prop) -> Steel.Effect.Common.selector' (Steel.Effect.Common.vrefine_t v p) (Steel.Effect.Common.vrefine_hp v p)
{ "end_col": 14, "end_line": 129, "start_col": 2, "start_line": 127 }
FStar.Pervasives.Lemma
val star_commutative (p1 p2:vprop) : Lemma ((p1 `star` p2) `equiv` (p2 `star` p1))
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let star_commutative p1 p2 = Mem.star_commutative (hp_of p1) (hp_of p2)
val star_commutative (p1 p2:vprop) : Lemma ((p1 `star` p2) `equiv` (p2 `star` p1)) let star_commutative p1 p2 =
false
null
true
Mem.star_commutative (hp_of p1) (hp_of p2)
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "Steel.Memory.star_commutative", "Steel.Effect.Common.hp_of", "Prims.unit" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x);
false
false
Steel.Effect.Common.fst
{ "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" }
null
val star_commutative (p1 p2:vprop) : Lemma ((p1 `star` p2) `equiv` (p2 `star` p1))
[]
Steel.Effect.Common.star_commutative
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p1: Steel.Effect.Common.vprop -> p2: Steel.Effect.Common.vprop -> FStar.Pervasives.Lemma (ensures Steel.Effect.Common.equiv (Steel.Effect.Common.star p1 p2) (Steel.Effect.Common.star p2 p1))
{ "end_col": 71, "end_line": 110, "start_col": 29, "start_line": 110 }
Prims.Tot
val valid_rmem (#frame:vprop) (h:rmem' frame) : prop
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2)
val valid_rmem (#frame:vprop) (h:rmem' frame) : prop let valid_rmem (#frame: vprop) (h: rmem' frame) : prop =
false
null
false
forall (p: vprop) (p1: vprop) (p2: vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2)
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "total" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.rmem'", "Prims.l_Forall", "Prims.l_imp", "Prims.l_and", "Steel.Effect.Common.can_be_split", "Prims.eq2", "Steel.Effect.Common.VStar", "FStar.Pervasives.Native.tuple2", "Steel.Effect.Common.vprop'", "Steel.Effect.Common.__proj__Mkvprop'__item__t", "Steel.Effect.Common.t_of", "FStar.Pervasives.Native.Mktuple2", "Prims.prop" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = ()
false
false
Steel.Effect.Common.fst
{ "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" }
null
val valid_rmem (#frame:vprop) (h:rmem' frame) : prop
[]
Steel.Effect.Common.valid_rmem
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
h: Steel.Effect.Common.rmem' frame -> Prims.prop
{ "end_col": 36, "end_line": 49, "start_col": 2, "start_line": 48 }
Prims.Tot
val vrefine_hp (v: vprop) (p: (normal (t_of v) -> Tot prop)) : Tot (slprop u#1)
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let vrefine_hp v p = refine_slprop (hp_of v) (vrefine_am v p)
val vrefine_hp (v: vprop) (p: (normal (t_of v) -> Tot prop)) : Tot (slprop u#1) let vrefine_hp v p =
false
null
false
refine_slprop (hp_of v) (vrefine_am v p)
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "total" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.normal", "Steel.Effect.Common.t_of", "Prims.prop", "Steel.Memory.refine_slprop", "Steel.Effect.Common.hp_of", "Steel.Effect.Common.vrefine_am", "Steel.Memory.slprop" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp let star_commutative p1 p2 = Mem.star_commutative (hp_of p1) (hp_of p2) let star_associative p1 p2 p3 = Mem.star_associative (hp_of p1) (hp_of p2) (hp_of p3) let star_congruence p1 p2 p3 p4 = Mem.star_congruence (hp_of p1) (hp_of p2) (hp_of p3) (hp_of p4) let vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v)) = fun h -> p (sel_of v h) let vrefine_hp
false
false
Steel.Effect.Common.fst
{ "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" }
null
val vrefine_hp (v: vprop) (p: (normal (t_of v) -> Tot prop)) : Tot (slprop u#1)
[]
Steel.Effect.Common.vrefine_hp
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
v: Steel.Effect.Common.vprop -> p: (_: Steel.Effect.Common.normal (Steel.Effect.Common.t_of v) -> Prims.prop) -> Steel.Memory.slprop
{ "end_col": 42, "end_line": 119, "start_col": 2, "start_line": 119 }
FStar.Pervasives.Lemma
val lemma_frame_emp (h0:rmem emp) (h1:rmem emp) (p:Type0) : Lemma (requires True == p) (ensures frame_equalities' emp h0 h1 == p)
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp'))
val lemma_frame_emp (h0:rmem emp) (h1:rmem emp) (p:Type0) : Lemma (requires True == p) (ensures frame_equalities' emp h0 h1 == p) let lemma_frame_emp h0 h1 p =
false
null
true
FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp'))
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.rmem", "Steel.Effect.Common.emp", "FStar.PropositionalExtensionality.apply", "Prims.l_True", "Prims.eq2", "Steel.Effect.Common.normal", "Steel.Effect.Common.t_of", "Steel.Effect.Common.VUnit", "Steel.Effect.Common.emp'", "Prims.unit" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2
false
false
Steel.Effect.Common.fst
{ "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" }
null
val lemma_frame_emp (h0:rmem emp) (h1:rmem emp) (p:Type0) : Lemma (requires True == p) (ensures frame_equalities' emp h0 h1 == p)
[]
Steel.Effect.Common.lemma_frame_emp
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
h0: Steel.Effect.Common.rmem Steel.Effect.Common.emp -> h1: Steel.Effect.Common.rmem Steel.Effect.Common.emp -> p: Type0 -> FStar.Pervasives.Lemma (requires Prims.l_True == p) (ensures Steel.Effect.Common.frame_equalities' Steel.Effect.Common.emp h0 h1 == p)
{ "end_col": 83, "end_line": 92, "start_col": 2, "start_line": 92 }
FStar.Pervasives.Lemma
val star_associative (p1 p2 p3:vprop) : Lemma (((p1 `star` p2) `star` p3) `equiv` (p1 `star` (p2 `star` p3)))
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let star_associative p1 p2 p3 = Mem.star_associative (hp_of p1) (hp_of p2) (hp_of p3)
val star_associative (p1 p2 p3:vprop) : Lemma (((p1 `star` p2) `star` p3) `equiv` (p1 `star` (p2 `star` p3))) let star_associative p1 p2 p3 =
false
null
true
Mem.star_associative (hp_of p1) (hp_of p2) (hp_of p3)
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "Steel.Memory.star_associative", "Steel.Effect.Common.hp_of", "Prims.unit" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp
false
false
Steel.Effect.Common.fst
{ "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" }
null
val star_associative (p1 p2 p3:vprop) : Lemma (((p1 `star` p2) `star` p3) `equiv` (p1 `star` (p2 `star` p3)))
[]
Steel.Effect.Common.star_associative
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p1: Steel.Effect.Common.vprop -> p2: Steel.Effect.Common.vprop -> p3: Steel.Effect.Common.vprop -> FStar.Pervasives.Lemma (ensures Steel.Effect.Common.equiv (Steel.Effect.Common.star (Steel.Effect.Common.star p1 p2) p3) (Steel.Effect.Common.star p1 (Steel.Effect.Common.star p2 p3)))
{ "end_col": 85, "end_line": 111, "start_col": 32, "start_line": 111 }
Prims.Tot
val vdep_sel' (v: vprop) (p: (t_of v -> Tot vprop)) : Tot (selector' (vdep_t v p) (vdep_hp v p))
[ { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let vdep_sel' (v: vprop) (p: t_of v -> Tot vprop) : Tot (selector' (vdep_t v p) (vdep_hp v p)) = fun (m: Mem.hmem (vdep_hp v p)) -> interp_vdep_hp v p m; let x = sel_of v m in let y = sel_of (p (sel_of v m)) m in (| x, y |)
val vdep_sel' (v: vprop) (p: (t_of v -> Tot vprop)) : Tot (selector' (vdep_t v p) (vdep_hp v p)) let vdep_sel' (v: vprop) (p: (t_of v -> Tot vprop)) : Tot (selector' (vdep_t v p) (vdep_hp v p)) =
false
null
false
fun (m: Mem.hmem (vdep_hp v p)) -> interp_vdep_hp v p m; let x = sel_of v m in let y = sel_of (p (sel_of v m)) m in (| x, y |)
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "total" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.t_of", "Steel.Memory.hmem", "Steel.Effect.Common.vdep_hp", "Prims.Mkdtuple2", "Steel.Effect.Common.vdep_payload", "Steel.Effect.Common.sel_of", "Prims.unit", "Steel.Effect.Common.interp_vdep_hp", "Steel.Effect.Common.vdep_t", "Steel.Effect.Common.selector'" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp let star_commutative p1 p2 = Mem.star_commutative (hp_of p1) (hp_of p2) let star_associative p1 p2 p3 = Mem.star_associative (hp_of p1) (hp_of p2) (hp_of p3) let star_congruence p1 p2 p3 p4 = Mem.star_congruence (hp_of p1) (hp_of p2) (hp_of p3) (hp_of p4) let vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v)) = fun h -> p (sel_of v h) let vrefine_hp v p = refine_slprop (hp_of v) (vrefine_am v p) let interp_vrefine_hp v p m = () let vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p)) = fun (h: Mem.hmem (vrefine_hp v p)) -> interp_refine_slprop (hp_of v) (vrefine_am v p) h; sel_of v h let vrefine_sel v p = assert (sel_depends_only_on (vrefine_sel' v p)); assert (sel_depends_only_on_core (vrefine_sel' v p)); vrefine_sel' v p let vrefine_sel_eq v p m = () let vdep_hp_payload (v: vprop) (p: (t_of v -> Tot vprop)) (h: Mem.hmem (hp_of v)) : Tot slprop = hp_of (p (sel_of v h)) let vdep_hp v p = sdep (hp_of v) (vdep_hp_payload v p) let interp_vdep_hp v p m = interp_sdep (hp_of v) (vdep_hp_payload v p) m; let left = interp (vdep_hp v p) m in let right = interp (hp_of v) m /\ interp (hp_of v `Mem.star` hp_of (p (sel_of v m))) m in let f () : Lemma (requires left) (ensures right) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in let g () : Lemma (requires right) (ensures left) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in Classical.move_requires f (); Classical.move_requires g () let vdep_sel' (v: vprop) (p: t_of v -> Tot vprop) : Tot (selector' (vdep_t v p) (vdep_hp v p))
false
false
Steel.Effect.Common.fst
{ "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" }
null
val vdep_sel' (v: vprop) (p: (t_of v -> Tot vprop)) : Tot (selector' (vdep_t v p) (vdep_hp v p))
[]
Steel.Effect.Common.vdep_sel'
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
v: Steel.Effect.Common.vprop -> p: (_: Steel.Effect.Common.t_of v -> Steel.Effect.Common.vprop) -> Steel.Effect.Common.selector' (Steel.Effect.Common.vdep_t v p) (Steel.Effect.Common.vdep_hp v p)
{ "end_col": 14, "end_line": 183, "start_col": 2, "start_line": 179 }
Prims.Tot
val vrewrite_sel (v: vprop) (#t: Type) (f: (normal (t_of v) -> GTot t)) : Tot (selector t (normal (hp_of v)))
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let vrewrite_sel v #t f = (fun (h: Mem.hmem (normal (hp_of v))) -> f ((normal (sel_of v) <: selector' _ _) h))
val vrewrite_sel (v: vprop) (#t: Type) (f: (normal (t_of v) -> GTot t)) : Tot (selector t (normal (hp_of v))) let vrewrite_sel v #t f =
false
null
false
(fun (h: Mem.hmem (normal (hp_of v))) -> f ((normal (sel_of v) <: selector' _ _) h))
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "total" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.normal", "Steel.Effect.Common.t_of", "Steel.Memory.hmem", "Steel.Memory.slprop", "Steel.Effect.Common.hp_of", "Steel.Effect.Common.selector'", "Steel.Effect.Common.sel_of" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp let star_commutative p1 p2 = Mem.star_commutative (hp_of p1) (hp_of p2) let star_associative p1 p2 p3 = Mem.star_associative (hp_of p1) (hp_of p2) (hp_of p3) let star_congruence p1 p2 p3 p4 = Mem.star_congruence (hp_of p1) (hp_of p2) (hp_of p3) (hp_of p4) let vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v)) = fun h -> p (sel_of v h) let vrefine_hp v p = refine_slprop (hp_of v) (vrefine_am v p) let interp_vrefine_hp v p m = () let vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p)) = fun (h: Mem.hmem (vrefine_hp v p)) -> interp_refine_slprop (hp_of v) (vrefine_am v p) h; sel_of v h let vrefine_sel v p = assert (sel_depends_only_on (vrefine_sel' v p)); assert (sel_depends_only_on_core (vrefine_sel' v p)); vrefine_sel' v p let vrefine_sel_eq v p m = () let vdep_hp_payload (v: vprop) (p: (t_of v -> Tot vprop)) (h: Mem.hmem (hp_of v)) : Tot slprop = hp_of (p (sel_of v h)) let vdep_hp v p = sdep (hp_of v) (vdep_hp_payload v p) let interp_vdep_hp v p m = interp_sdep (hp_of v) (vdep_hp_payload v p) m; let left = interp (vdep_hp v p) m in let right = interp (hp_of v) m /\ interp (hp_of v `Mem.star` hp_of (p (sel_of v m))) m in let f () : Lemma (requires left) (ensures right) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in let g () : Lemma (requires right) (ensures left) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in Classical.move_requires f (); Classical.move_requires g () let vdep_sel' (v: vprop) (p: t_of v -> Tot vprop) : Tot (selector' (vdep_t v p) (vdep_hp v p)) = fun (m: Mem.hmem (vdep_hp v p)) -> interp_vdep_hp v p m; let x = sel_of v m in let y = sel_of (p (sel_of v m)) m in (| x, y |) let vdep_sel v p = Classical.forall_intro_2 (Classical.move_requires_2 (fun (m0 m1: mem) -> (join_commutative m0) m1)); vdep_sel' v p let vdep_sel_eq v p m = Classical.forall_intro_2 (Classical.move_requires_2 (fun (m0 m1: mem) -> (join_commutative m0) m1)); () let vrewrite_sel v #t f
false
false
Steel.Effect.Common.fst
{ "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" }
null
val vrewrite_sel (v: vprop) (#t: Type) (f: (normal (t_of v) -> GTot t)) : Tot (selector t (normal (hp_of v)))
[]
Steel.Effect.Common.vrewrite_sel
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
v: Steel.Effect.Common.vprop -> f: (_: Steel.Effect.Common.normal (Steel.Effect.Common.t_of v) -> Prims.GTot t) -> Steel.Effect.Common.selector t (Steel.Effect.Common.normal (Steel.Effect.Common.hp_of v))
{ "end_col": 86, "end_line": 198, "start_col": 2, "start_line": 198 }
Prims.Tot
val vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v))
[ { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v)) = fun h -> p (sel_of v h)
val vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v)) let vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v)) =
false
null
false
fun h -> p (sel_of v h)
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "total" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.t_of", "Prims.prop", "Steel.Memory.hmem", "Steel.Effect.Common.hp_of", "Steel.Effect.Common.sel_of", "Steel.Memory.a_mem_prop" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp let star_commutative p1 p2 = Mem.star_commutative (hp_of p1) (hp_of p2) let star_associative p1 p2 p3 = Mem.star_associative (hp_of p1) (hp_of p2) (hp_of p3) let star_congruence p1 p2 p3 p4 = Mem.star_congruence (hp_of p1) (hp_of p2) (hp_of p3) (hp_of p4)
false
false
Steel.Effect.Common.fst
{ "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" }
null
val vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v))
[]
Steel.Effect.Common.vrefine_am
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
v: Steel.Effect.Common.vprop -> p: (_: Steel.Effect.Common.t_of v -> Prims.prop) -> Steel.Memory.a_mem_prop (Steel.Effect.Common.hp_of v)
{ "end_col": 25, "end_line": 115, "start_col": 2, "start_line": 115 }
FStar.Pervasives.Lemma
val lemma_valid_focus_rmem (#r:vprop) (h:rmem r) (r0:vprop{r `can_be_split` r0}) : Lemma (valid_rmem (focus_rmem' h r0))
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0))
val lemma_valid_focus_rmem (#r:vprop) (h:rmem r) (r0:vprop{r `can_be_split` r0}) : Lemma (valid_rmem (focus_rmem' h r0)) let lemma_valid_focus_rmem #r h r0 =
false
null
true
Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0))
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.rmem", "Steel.Effect.Common.can_be_split", "FStar.Classical.forall_intro", "Prims.l_imp", "Prims.l_and", "FStar.Classical.move_requires", "Steel.Effect.Common.can_be_split_trans", "Prims.unit" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = ()
false
false
Steel.Effect.Common.fst
{ "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" }
null
val lemma_valid_focus_rmem (#r:vprop) (h:rmem r) (r0:vprop{r `can_be_split` r0}) : Lemma (valid_rmem (focus_rmem' h r0))
[]
Steel.Effect.Common.lemma_valid_focus_rmem
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
h: Steel.Effect.Common.rmem r -> r0: Steel.Effect.Common.vprop{Steel.Effect.Common.can_be_split r r0} -> FStar.Pervasives.Lemma (ensures Steel.Effect.Common.valid_rmem (Steel.Effect.Common.focus_rmem' h r0))
{ "end_col": 76, "end_line": 66, "start_col": 2, "start_line": 66 }
FStar.Pervasives.Lemma
val reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma (ensures reveal_can_be_split(); (mk_rmem r h) r0 == sel_of r0 h)
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h)
val reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma (ensures reveal_can_be_split(); (mk_rmem r h) r0 == sel_of r0 h) let reveal_mk_rmem (r: vprop) (h: hmem r) (r0: vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) =
false
null
true
FExt.feq_on_domain_g (unrestricted_mk_rmem r h)
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.hmem", "Steel.Effect.Common.can_be_split", "FStar.FunctionalExtensionality.feq_on_domain_g", "Steel.Effect.Common.t_of", "Steel.Effect.Common.unrestricted_mk_rmem", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "Steel.Effect.Common.normal", "Steel.Effect.Common.mk_rmem", "Steel.Effect.Common.sel_of", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0})
false
false
Steel.Effect.Common.fst
{ "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" }
null
val reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma (ensures reveal_can_be_split(); (mk_rmem r h) r0 == sel_of r0 h)
[]
Steel.Effect.Common.reveal_mk_rmem
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
r: Steel.Effect.Common.vprop -> h: Steel.Effect.Common.hmem r -> r0: Steel.Effect.Common.vprop{Steel.Effect.Common.can_be_split r r0} -> FStar.Pervasives.Lemma (ensures ([@@ FStar.Pervasives.inline_let ]let _ = Steel.Effect.Common.reveal_can_be_split () in Steel.Effect.Common.mk_rmem r h r0 == Steel.Effect.Common.sel_of r0 h))
{ "end_col": 51, "end_line": 55, "start_col": 4, "start_line": 55 }
FStar.Pervasives.Lemma
val vdep_sel_eq (v: vprop) (p: ( (t_of v) -> Tot vprop)) (m: Mem.hmem (vdep_hp v p)) : Lemma ( interp (hp_of v) m /\ begin let x = sel_of v m in interp (hp_of (p x)) m /\ vdep_sel v p m == (| x, sel_of (p x) m |) end )
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let vdep_sel_eq v p m = Classical.forall_intro_2 (Classical.move_requires_2 (fun (m0 m1: mem) -> (join_commutative m0) m1)); ()
val vdep_sel_eq (v: vprop) (p: ( (t_of v) -> Tot vprop)) (m: Mem.hmem (vdep_hp v p)) : Lemma ( interp (hp_of v) m /\ begin let x = sel_of v m in interp (hp_of (p x)) m /\ vdep_sel v p m == (| x, sel_of (p x) m |) end ) let vdep_sel_eq v p m =
false
null
true
Classical.forall_intro_2 (Classical.move_requires_2 (fun (m0: mem) (m1: mem) -> (join_commutative m0) m1)); ()
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.t_of", "Steel.Memory.hmem", "Steel.Effect.Common.vdep_hp", "Prims.unit", "FStar.Classical.forall_intro_2", "Steel.Memory.mem", "Prims.l_imp", "Steel.Memory.disjoint", "Prims.l_and", "Prims.eq2", "Steel.Memory.join", "FStar.Classical.move_requires_2", "Steel.Memory.join_commutative" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp let star_commutative p1 p2 = Mem.star_commutative (hp_of p1) (hp_of p2) let star_associative p1 p2 p3 = Mem.star_associative (hp_of p1) (hp_of p2) (hp_of p3) let star_congruence p1 p2 p3 p4 = Mem.star_congruence (hp_of p1) (hp_of p2) (hp_of p3) (hp_of p4) let vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v)) = fun h -> p (sel_of v h) let vrefine_hp v p = refine_slprop (hp_of v) (vrefine_am v p) let interp_vrefine_hp v p m = () let vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p)) = fun (h: Mem.hmem (vrefine_hp v p)) -> interp_refine_slprop (hp_of v) (vrefine_am v p) h; sel_of v h let vrefine_sel v p = assert (sel_depends_only_on (vrefine_sel' v p)); assert (sel_depends_only_on_core (vrefine_sel' v p)); vrefine_sel' v p let vrefine_sel_eq v p m = () let vdep_hp_payload (v: vprop) (p: (t_of v -> Tot vprop)) (h: Mem.hmem (hp_of v)) : Tot slprop = hp_of (p (sel_of v h)) let vdep_hp v p = sdep (hp_of v) (vdep_hp_payload v p) let interp_vdep_hp v p m = interp_sdep (hp_of v) (vdep_hp_payload v p) m; let left = interp (vdep_hp v p) m in let right = interp (hp_of v) m /\ interp (hp_of v `Mem.star` hp_of (p (sel_of v m))) m in let f () : Lemma (requires left) (ensures right) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in let g () : Lemma (requires right) (ensures left) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in Classical.move_requires f (); Classical.move_requires g () let vdep_sel' (v: vprop) (p: t_of v -> Tot vprop) : Tot (selector' (vdep_t v p) (vdep_hp v p)) = fun (m: Mem.hmem (vdep_hp v p)) -> interp_vdep_hp v p m; let x = sel_of v m in let y = sel_of (p (sel_of v m)) m in (| x, y |) let vdep_sel v p = Classical.forall_intro_2 (Classical.move_requires_2 (fun (m0 m1: mem) -> (join_commutative m0) m1)); vdep_sel' v p let vdep_sel_eq
false
false
Steel.Effect.Common.fst
{ "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" }
null
val vdep_sel_eq (v: vprop) (p: ( (t_of v) -> Tot vprop)) (m: Mem.hmem (vdep_hp v p)) : Lemma ( interp (hp_of v) m /\ begin let x = sel_of v m in interp (hp_of (p x)) m /\ vdep_sel v p m == (| x, sel_of (p x) m |) end )
[]
Steel.Effect.Common.vdep_sel_eq
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
v: Steel.Effect.Common.vprop -> p: (_: Steel.Effect.Common.t_of v -> Steel.Effect.Common.vprop) -> m: Steel.Memory.hmem (Steel.Effect.Common.vdep_hp v p) -> FStar.Pervasives.Lemma (ensures Steel.Memory.interp (Steel.Effect.Common.hp_of v) m /\ (let x = Steel.Effect.Common.sel_of v m in Steel.Memory.interp (Steel.Effect.Common.hp_of (p x)) m /\ Steel.Effect.Common.vdep_sel v p m == (| x, Steel.Effect.Common.sel_of (p x) m |)))
{ "end_col": 4, "end_line": 193, "start_col": 2, "start_line": 192 }
FStar.Pervasives.Lemma
val interp_vdep_hp (v: vprop) (p: ( (t_of v) -> Tot vprop)) (m: mem) : Lemma (interp (vdep_hp v p) m <==> (interp (hp_of v) m /\ interp (hp_of v `Mem.star` hp_of (p (sel_of v m))) m))
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let interp_vdep_hp v p m = interp_sdep (hp_of v) (vdep_hp_payload v p) m; let left = interp (vdep_hp v p) m in let right = interp (hp_of v) m /\ interp (hp_of v `Mem.star` hp_of (p (sel_of v m))) m in let f () : Lemma (requires left) (ensures right) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in let g () : Lemma (requires right) (ensures left) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in Classical.move_requires f (); Classical.move_requires g ()
val interp_vdep_hp (v: vprop) (p: ( (t_of v) -> Tot vprop)) (m: mem) : Lemma (interp (vdep_hp v p) m <==> (interp (hp_of v) m /\ interp (hp_of v `Mem.star` hp_of (p (sel_of v m))) m)) let interp_vdep_hp v p m =
false
null
true
interp_sdep (hp_of v) (vdep_hp_payload v p) m; let left = interp (vdep_hp v p) m in let right = interp (hp_of v) m /\ interp ((hp_of v) `Mem.star` (hp_of (p (sel_of v m)))) m in let f () : Lemma (requires left) (ensures right) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in let g () : Lemma (requires right) (ensures left) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in Classical.move_requires f (); Classical.move_requires g ()
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.t_of", "Steel.Memory.mem", "FStar.Classical.move_requires", "Prims.unit", "Prims.squash", "Prims.Nil", "FStar.Pervasives.pattern", "Steel.Memory.interp_star", "Steel.Effect.Common.hp_of", "Steel.Effect.Common.sel_of", "Prims.logical", "Prims.l_and", "Steel.Memory.interp", "Steel.Memory.star", "Prims.prop", "Steel.Effect.Common.vdep_hp", "Steel.Memory.interp_sdep", "Steel.Effect.Common.vdep_hp_payload" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp let star_commutative p1 p2 = Mem.star_commutative (hp_of p1) (hp_of p2) let star_associative p1 p2 p3 = Mem.star_associative (hp_of p1) (hp_of p2) (hp_of p3) let star_congruence p1 p2 p3 p4 = Mem.star_congruence (hp_of p1) (hp_of p2) (hp_of p3) (hp_of p4) let vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v)) = fun h -> p (sel_of v h) let vrefine_hp v p = refine_slprop (hp_of v) (vrefine_am v p) let interp_vrefine_hp v p m = () let vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p)) = fun (h: Mem.hmem (vrefine_hp v p)) -> interp_refine_slprop (hp_of v) (vrefine_am v p) h; sel_of v h let vrefine_sel v p = assert (sel_depends_only_on (vrefine_sel' v p)); assert (sel_depends_only_on_core (vrefine_sel' v p)); vrefine_sel' v p let vrefine_sel_eq v p m = () let vdep_hp_payload (v: vprop) (p: (t_of v -> Tot vprop)) (h: Mem.hmem (hp_of v)) : Tot slprop = hp_of (p (sel_of v h)) let vdep_hp v p = sdep (hp_of v) (vdep_hp_payload v p) let interp_vdep_hp v p m
false
false
Steel.Effect.Common.fst
{ "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" }
null
val interp_vdep_hp (v: vprop) (p: ( (t_of v) -> Tot vprop)) (m: mem) : Lemma (interp (vdep_hp v p) m <==> (interp (hp_of v) m /\ interp (hp_of v `Mem.star` hp_of (p (sel_of v m))) m))
[]
Steel.Effect.Common.interp_vdep_hp
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
v: Steel.Effect.Common.vprop -> p: (_: Steel.Effect.Common.t_of v -> Steel.Effect.Common.vprop) -> m: Steel.Memory.mem -> FStar.Pervasives.Lemma (ensures Steel.Memory.interp (Steel.Effect.Common.vdep_hp v p) m <==> Steel.Memory.interp (Steel.Effect.Common.hp_of v) m /\ Steel.Memory.interp (Steel.Memory.star (Steel.Effect.Common.hp_of v) (Steel.Effect.Common.hp_of (p (Steel.Effect.Common.sel_of v m)))) m)
{ "end_col": 30, "end_line": 172, "start_col": 2, "start_line": 156 }
FStar.Pervasives.Lemma
val emp_unit_variant (p:vprop) : Lemma (ensures can_be_split p (p `star` emp))
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": false, "full_module": "FStar.Reflection.V2.Derived.Lemmas", "short_module": null }, { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let emp_unit_variant p = Mem.emp_unit (hp_of p)
val emp_unit_variant (p:vprop) : Lemma (ensures can_be_split p (p `star` emp)) let emp_unit_variant p =
false
null
true
Mem.emp_unit (hp_of p)
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "Steel.Memory.emp_unit", "Steel.Effect.Common.hp_of", "Prims.unit" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp let star_commutative p1 p2 = Mem.star_commutative (hp_of p1) (hp_of p2) let star_associative p1 p2 p3 = Mem.star_associative (hp_of p1) (hp_of p2) (hp_of p3) let star_congruence p1 p2 p3 p4 = Mem.star_congruence (hp_of p1) (hp_of p2) (hp_of p3) (hp_of p4) let vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v)) = fun h -> p (sel_of v h) let vrefine_hp v p = refine_slprop (hp_of v) (vrefine_am v p) let interp_vrefine_hp v p m = () let vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p)) = fun (h: Mem.hmem (vrefine_hp v p)) -> interp_refine_slprop (hp_of v) (vrefine_am v p) h; sel_of v h let vrefine_sel v p = assert (sel_depends_only_on (vrefine_sel' v p)); assert (sel_depends_only_on_core (vrefine_sel' v p)); vrefine_sel' v p let vrefine_sel_eq v p m = () let vdep_hp_payload (v: vprop) (p: (t_of v -> Tot vprop)) (h: Mem.hmem (hp_of v)) : Tot slprop = hp_of (p (sel_of v h)) let vdep_hp v p = sdep (hp_of v) (vdep_hp_payload v p) let interp_vdep_hp v p m = interp_sdep (hp_of v) (vdep_hp_payload v p) m; let left = interp (vdep_hp v p) m in let right = interp (hp_of v) m /\ interp (hp_of v `Mem.star` hp_of (p (sel_of v m))) m in let f () : Lemma (requires left) (ensures right) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in let g () : Lemma (requires right) (ensures left) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in Classical.move_requires f (); Classical.move_requires g () let vdep_sel' (v: vprop) (p: t_of v -> Tot vprop) : Tot (selector' (vdep_t v p) (vdep_hp v p)) = fun (m: Mem.hmem (vdep_hp v p)) -> interp_vdep_hp v p m; let x = sel_of v m in let y = sel_of (p (sel_of v m)) m in (| x, y |) let vdep_sel v p = Classical.forall_intro_2 (Classical.move_requires_2 (fun (m0 m1: mem) -> (join_commutative m0) m1)); vdep_sel' v p let vdep_sel_eq v p m = Classical.forall_intro_2 (Classical.move_requires_2 (fun (m0 m1: mem) -> (join_commutative m0) m1)); () let vrewrite_sel v #t f = (fun (h: Mem.hmem (normal (hp_of v))) -> f ((normal (sel_of v) <: selector' _ _) h)) let vrewrite_sel_eq v #t f h = () let solve_can_be_split_for _ = () let solve_can_be_split_lookup = ()
false
false
Steel.Effect.Common.fst
{ "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" }
null
val emp_unit_variant (p:vprop) : Lemma (ensures can_be_split p (p `star` emp))
[]
Steel.Effect.Common.emp_unit_variant
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Effect.Common.vprop -> FStar.Pervasives.Lemma (ensures Steel.Effect.Common.can_be_split p (Steel.Effect.Common.star p Steel.Effect.Common.emp) )
{ "end_col": 47, "end_line": 207, "start_col": 25, "start_line": 207 }
Prims.Tot
val vdep_sel (v: vprop) (p: ( (t_of v) -> Tot vprop)) : Tot (selector (vdep_t v p) (vdep_hp v p))
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let vdep_sel v p = Classical.forall_intro_2 (Classical.move_requires_2 (fun (m0 m1: mem) -> (join_commutative m0) m1)); vdep_sel' v p
val vdep_sel (v: vprop) (p: ( (t_of v) -> Tot vprop)) : Tot (selector (vdep_t v p) (vdep_hp v p)) let vdep_sel v p =
false
null
false
Classical.forall_intro_2 (Classical.move_requires_2 (fun (m0: mem) (m1: mem) -> (join_commutative m0) m1)); vdep_sel' v p
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "total" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.t_of", "Steel.Effect.Common.vdep_sel'", "Prims.unit", "FStar.Classical.forall_intro_2", "Steel.Memory.mem", "Prims.l_imp", "Steel.Memory.disjoint", "Prims.l_and", "Prims.eq2", "Steel.Memory.join", "FStar.Classical.move_requires_2", "Steel.Memory.join_commutative", "Steel.Effect.Common.selector", "Steel.Effect.Common.vdep_t", "Steel.Effect.Common.vdep_hp" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp let star_commutative p1 p2 = Mem.star_commutative (hp_of p1) (hp_of p2) let star_associative p1 p2 p3 = Mem.star_associative (hp_of p1) (hp_of p2) (hp_of p3) let star_congruence p1 p2 p3 p4 = Mem.star_congruence (hp_of p1) (hp_of p2) (hp_of p3) (hp_of p4) let vrefine_am (v: vprop) (p: (t_of v -> Tot prop)) : Tot (a_mem_prop (hp_of v)) = fun h -> p (sel_of v h) let vrefine_hp v p = refine_slprop (hp_of v) (vrefine_am v p) let interp_vrefine_hp v p m = () let vrefine_sel' (v: vprop) (p: (t_of v -> Tot prop)) : Tot (selector' (vrefine_t v p) (vrefine_hp v p)) = fun (h: Mem.hmem (vrefine_hp v p)) -> interp_refine_slprop (hp_of v) (vrefine_am v p) h; sel_of v h let vrefine_sel v p = assert (sel_depends_only_on (vrefine_sel' v p)); assert (sel_depends_only_on_core (vrefine_sel' v p)); vrefine_sel' v p let vrefine_sel_eq v p m = () let vdep_hp_payload (v: vprop) (p: (t_of v -> Tot vprop)) (h: Mem.hmem (hp_of v)) : Tot slprop = hp_of (p (sel_of v h)) let vdep_hp v p = sdep (hp_of v) (vdep_hp_payload v p) let interp_vdep_hp v p m = interp_sdep (hp_of v) (vdep_hp_payload v p) m; let left = interp (vdep_hp v p) m in let right = interp (hp_of v) m /\ interp (hp_of v `Mem.star` hp_of (p (sel_of v m))) m in let f () : Lemma (requires left) (ensures right) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in let g () : Lemma (requires right) (ensures left) = interp_star (hp_of v) (hp_of (p (sel_of v m))) m in Classical.move_requires f (); Classical.move_requires g () let vdep_sel' (v: vprop) (p: t_of v -> Tot vprop) : Tot (selector' (vdep_t v p) (vdep_hp v p)) = fun (m: Mem.hmem (vdep_hp v p)) -> interp_vdep_hp v p m; let x = sel_of v m in let y = sel_of (p (sel_of v m)) m in (| x, y |) let vdep_sel
false
false
Steel.Effect.Common.fst
{ "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" }
null
val vdep_sel (v: vprop) (p: ( (t_of v) -> Tot vprop)) : Tot (selector (vdep_t v p) (vdep_hp v p))
[]
Steel.Effect.Common.vdep_sel
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
v: Steel.Effect.Common.vprop -> p: (_: Steel.Effect.Common.t_of v -> Steel.Effect.Common.vprop) -> Steel.Effect.Common.selector (Steel.Effect.Common.vdep_t v p) (Steel.Effect.Common.vdep_hp v p)
{ "end_col": 15, "end_line": 188, "start_col": 2, "start_line": 187 }
FStar.Pervasives.Lemma
val lemma_frame_equalities (frame:vprop) (h0:rmem frame) (h1:rmem frame) (p:Type0) : Lemma (requires (h0 frame == h1 frame) == p) (ensures frame_equalities' frame h0 h1 == p)
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2
val lemma_frame_equalities (frame:vprop) (h0:rmem frame) (h1:rmem frame) (p:Type0) : Lemma (requires (h0 frame == h1 frame) == p) (ensures frame_equalities' frame h0 h1 == p) let lemma_frame_equalities frame h0 h1 p =
false
null
true
let p1:prop = h0 frame == h1 frame in let p2:prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.rmem", "FStar.PropositionalExtensionality.apply", "Prims.unit", "Steel.Effect.Common.lemma_frame_refl'", "Prims.prop", "Steel.Effect.Common.frame_equalities'", "Prims.eq2", "Steel.Effect.Common.normal", "Steel.Effect.Common.t_of" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12
false
false
Steel.Effect.Common.fst
{ "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" }
null
val lemma_frame_equalities (frame:vprop) (h0:rmem frame) (h1:rmem frame) (p:Type0) : Lemma (requires (h0 frame == h1 frame) == p) (ensures frame_equalities' frame h0 h1 == p)
[]
Steel.Effect.Common.lemma_frame_equalities
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
frame: Steel.Effect.Common.vprop -> h0: Steel.Effect.Common.rmem frame -> h1: Steel.Effect.Common.rmem frame -> p: Type0 -> FStar.Pervasives.Lemma (requires h0 frame == h1 frame == p) (ensures Steel.Effect.Common.frame_equalities' frame h0 h1 == p)
{ "end_col": 47, "end_line": 89, "start_col": 42, "start_line": 85 }
FStar.Pervasives.Lemma
val lemma_frame_refl' (frame: vprop) (h0 h1: rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1)
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12
val lemma_frame_refl' (frame: vprop) (h0 h1: rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) let rec lemma_frame_refl' (frame: vprop) (h0 h1: rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) =
false
null
true
match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01:rmem p1 = focus_rmem h0 p1 in let h11:rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "Steel.Effect.Common.rmem", "Steel.Effect.Common.vprop'", "Steel.Effect.Common.lemma_frame_refl'", "Prims.unit", "Steel.Effect.Common.rmem'", "Steel.Effect.Common.valid_rmem", "Steel.Effect.Common.focus_rmem", "Steel.Effect.Common.can_be_split_star_r", "Steel.Effect.Common.can_be_split_star_l", "Prims.l_True", "Prims.squash", "Prims.l_iff", "Prims.eq2", "Steel.Effect.Common.normal", "Steel.Effect.Common.t_of", "Steel.Effect.Common.frame_equalities'", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame)
false
false
Steel.Effect.Common.fst
{ "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" }
null
val lemma_frame_refl' (frame: vprop) (h0 h1: rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1)
[ "recursion" ]
Steel.Effect.Common.lemma_frame_refl'
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
frame: Steel.Effect.Common.vprop -> h0: Steel.Effect.Common.rmem frame -> h1: Steel.Effect.Common.rmem frame -> FStar.Pervasives.Lemma (ensures h0 frame == h1 frame <==> Steel.Effect.Common.frame_equalities' frame h0 h1)
{ "end_col": 34, "end_line": 83, "start_col": 4, "start_line": 70 }
FStar.Pervasives.Lemma
val star_congruence (p1 p2 p3 p4:vprop) : Lemma (requires p1 `equiv` p3 /\ p2 `equiv` p4) (ensures (p1 `star` p2) `equiv` (p3 `star` p4))
[ { "abbrev": false, "full_module": "Steel.Semantics.Instantiate", "short_module": null }, { "abbrev": true, "full_module": "Steel.Semantics.Hoare.MST", "short_module": "Sem" }, { "abbrev": true, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": "CE" }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.FunctionalExtensionality", "short_module": "FExt" }, { "abbrev": true, "full_module": "Steel.Memory", "short_module": "Mem" }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let star_congruence p1 p2 p3 p4 = Mem.star_congruence (hp_of p1) (hp_of p2) (hp_of p3) (hp_of p4)
val star_congruence (p1 p2 p3 p4:vprop) : Lemma (requires p1 `equiv` p3 /\ p2 `equiv` p4) (ensures (p1 `star` p2) `equiv` (p3 `star` p4)) let star_congruence p1 p2 p3 p4 =
false
null
true
Mem.star_congruence (hp_of p1) (hp_of p2) (hp_of p3) (hp_of p4)
{ "checked_file": "Steel.Effect.Common.fst.checked", "dependencies": [ "Steel.Semantics.Instantiate.fsti.checked", "Steel.Semantics.Hoare.MST.fst.checked", "Steel.Memory.fsti.checked", "prims.fst.checked", "FStar.PropositionalExtensionality.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Steel.Effect.Common.fst" }
[ "lemma" ]
[ "Steel.Effect.Common.vprop", "Steel.Memory.star_congruence", "Steel.Effect.Common.hp_of", "Prims.unit" ]
[]
(* Copyright 2020 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 Steel.Effect.Common module Sem = Steel.Semantics.Hoare.MST module Mem = Steel.Memory open Steel.Semantics.Instantiate module FExt = FStar.FunctionalExtensionality let h_exists #a f = VUnit ({hp = Mem.h_exists (fun x -> hp_of (f x)); t = unit; sel = fun _ -> ()}) let can_be_split (p q:vprop) : prop = Mem.slimp (hp_of p) (hp_of q) let reveal_can_be_split () = () let can_be_split_interp r r' h = () let can_be_split_trans p q r = () let can_be_split_star_l p q = () let can_be_split_star_r p q = () let can_be_split_refl p = () let can_be_split_congr_l p q r = Classical.forall_intro (interp_star (hp_of p) (hp_of r)); Classical.forall_intro (interp_star (hp_of q) (hp_of r)) let can_be_split_congr_r p q r = Classical.forall_intro (interp_star (hp_of r) (hp_of p)); Classical.forall_intro (interp_star (hp_of r) (hp_of q)) let equiv (p q:vprop) : prop = Mem.equiv (hp_of p) (hp_of q) /\ True let reveal_equiv p q = () let valid_rmem (#frame:vprop) (h:rmem' frame) : prop = forall (p p1 p2:vprop). can_be_split frame p /\ p == VStar p1 p2 ==> (h p1, h p2) == h (VStar p1 p2) let lemma_valid_mk_rmem (r:vprop) (h:hmem r) = () let reveal_mk_rmem (r:vprop) (h:hmem r) (r0:vprop{r `can_be_split` r0}) : Lemma ((mk_rmem r h) r0 == sel_of r0 h) = FExt.feq_on_domain_g (unrestricted_mk_rmem r h) let emp':vprop' = { hp = emp; t = unit; sel = fun _ -> ()} let emp = VUnit emp' let reveal_emp () = () let lemma_valid_focus_rmem #r h r0 = Classical.forall_intro (Classical.move_requires (can_be_split_trans r r0)) let rec lemma_frame_refl' (frame:vprop) (h0:rmem frame) (h1:rmem frame) : Lemma ((h0 frame == h1 frame) <==> frame_equalities' frame h0 h1) = match frame with | VUnit _ -> () | VStar p1 p2 -> can_be_split_star_l p1 p2; can_be_split_star_r p1 p2; let h01 : rmem p1 = focus_rmem h0 p1 in let h11 : rmem p1 = focus_rmem h1 p1 in let h02 = focus_rmem h0 p2 in let h12 = focus_rmem h1 p2 in lemma_frame_refl' p1 h01 h11; lemma_frame_refl' p2 h02 h12 let lemma_frame_equalities frame h0 h1 p = let p1 : prop = h0 frame == h1 frame in let p2 : prop = frame_equalities' frame h0 h1 in lemma_frame_refl' frame h0 h1; FStar.PropositionalExtensionality.apply p1 p2 let lemma_frame_emp h0 h1 p = FStar.PropositionalExtensionality.apply True (h0 (VUnit emp') == h1 (VUnit emp')) let elim_conjunction p1 p1' p2 p2' = () let can_be_split_dep_refl p = () let equiv_can_be_split p1 p2 = () let intro_can_be_split_frame p q frame = () let can_be_split_post_elim t1 t2 = () let equiv_forall_refl t = () let equiv_forall_elim t1 t2 = () let equiv_refl x = () let equiv_sym x y = () let equiv_trans x y z = () let cm_identity x = Mem.emp_unit (hp_of x); Mem.star_commutative (hp_of x) Mem.emp let star_commutative p1 p2 = Mem.star_commutative (hp_of p1) (hp_of p2)
false
false
Steel.Effect.Common.fst
{ "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" }
null
val star_congruence (p1 p2 p3 p4:vprop) : Lemma (requires p1 `equiv` p3 /\ p2 `equiv` p4) (ensures (p1 `star` p2) `equiv` (p3 `star` p4))
[]
Steel.Effect.Common.star_congruence
{ "file_name": "lib/steel/Steel.Effect.Common.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p1: Steel.Effect.Common.vprop -> p2: Steel.Effect.Common.vprop -> p3: Steel.Effect.Common.vprop -> p4: Steel.Effect.Common.vprop -> FStar.Pervasives.Lemma (requires Steel.Effect.Common.equiv p1 p3 /\ Steel.Effect.Common.equiv p2 p4) (ensures Steel.Effect.Common.equiv (Steel.Effect.Common.star p1 p2) (Steel.Effect.Common.star p3 p4))
{ "end_col": 97, "end_line": 112, "start_col": 34, "start_line": 112 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_Mod_mem_layout = Mod_mem_layout
let va_Mod_mem_layout =
false
null
false
Mod_mem_layout
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.Mod_mem_layout" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_Mod_mem_layout : Vale.X64.QuickCode.mod_t
[]
Vale.X64.QuickCode.va_Mod_mem_layout
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Vale.X64.QuickCode.mod_t
{ "end_col": 57, "end_line": 30, "start_col": 43, "start_line": 30 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_mods_t = mods_t
let va_mods_t =
false
null
false
mods_t
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.mods_t" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_mods_t : Type0
[]
Vale.X64.QuickCode.va_mods_t
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Type0
{ "end_col": 29, "end_line": 22, "start_col": 23, "start_line": 22 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_Mod_stack = Mod_stack
let va_Mod_stack =
false
null
false
Mod_stack
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.Mod_stack" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_Mod_stack : Vale.X64.QuickCode.mod_t
[]
Vale.X64.QuickCode.va_Mod_stack
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Vale.X64.QuickCode.mod_t
{ "end_col": 47, "end_line": 32, "start_col": 38, "start_line": 32 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_Mod_stackTaint = Mod_stackTaint
let va_Mod_stackTaint =
false
null
false
Mod_stackTaint
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.Mod_stackTaint" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_Mod_stackTaint : Vale.X64.QuickCode.mod_t
[]
Vale.X64.QuickCode.va_Mod_stackTaint
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Vale.X64.QuickCode.mod_t
{ "end_col": 57, "end_line": 33, "start_col": 43, "start_line": 33 }
Prims.Tot
val va_mod_heaplet (h: heaplet_id) : mod_t
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h
val va_mod_heaplet (h: heaplet_id) : mod_t let va_mod_heaplet (h: heaplet_id) : mod_t =
false
null
false
Mod_mem_heaplet h
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.Decls.heaplet_id", "Vale.X64.QuickCode.Mod_mem_heaplet", "Vale.X64.QuickCode.mod_t" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:vale_state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_dst_opr64 (o:operand64) : mod_t = match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None // TODO: support destination memory operands | OStack _ -> Mod_None // TODO: support destination stack operands [@va_qattr qmodattr] let va_mod_reg_opr64 (o:reg_operand) : mod_t = match o with | OReg r -> Mod_reg (Reg 0 r)
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_mod_heaplet (h: heaplet_id) : mod_t
[]
Vale.X64.QuickCode.va_mod_heaplet
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
h: Vale.X64.Decls.heaplet_id -> Vale.X64.QuickCode.mod_t
{ "end_col": 82, "end_line": 89, "start_col": 65, "start_line": 89 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let k_true (#a:Type0) (_:vale_state) (_:a) = True
let k_true (#a: Type0) (_: vale_state) (_: a) =
false
null
false
True
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.State.vale_state", "Prims.l_True", "Prims.logical" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:vale_state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_dst_opr64 (o:operand64) : mod_t = match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None // TODO: support destination memory operands | OStack _ -> Mod_None // TODO: support destination stack operands [@va_qattr qmodattr] let va_mod_reg_opr64 (o:reg_operand) : mod_t = match o with | OReg r -> Mod_reg (Reg 0 r) [@va_qattr qmodattr] let va_mod_xmm (x:reg_xmm) : mod_t = Mod_reg (Reg 1 x) [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:vale_state) -> (wp_continue:vale_state -> a -> Type0) -> Type0
false
false
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val k_true : _: Vale.X64.State.vale_state -> _: a -> Prims.logical
[]
Vale.X64.QuickCode.k_true
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Vale.X64.State.vale_state -> _: a -> Prims.logical
{ "end_col": 49, "end_line": 93, "start_col": 45, "start_line": 93 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let mods_t = list mod_t
let mods_t =
false
null
false
list mod_t
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Prims.list", "Vale.X64.QuickCode.mod_t" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val mods_t : Type0
[]
Vale.X64.QuickCode.mods_t
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Type0
{ "end_col": 30, "end_line": 21, "start_col": 20, "start_line": 21 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_Mod_None = Mod_None
let va_Mod_None =
false
null
false
Mod_None
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.Mod_None" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_Mod_None : Vale.X64.QuickCode.mod_t
[]
Vale.X64.QuickCode.va_Mod_None
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Vale.X64.QuickCode.mod_t
{ "end_col": 45, "end_line": 24, "start_col": 37, "start_line": 24 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_Mod_mem = Mod_mem
let va_Mod_mem =
false
null
false
Mod_mem
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.Mod_mem" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r)
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_Mod_mem : Vale.X64.QuickCode.mod_t
[]
Vale.X64.QuickCode.va_Mod_mem
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Vale.X64.QuickCode.mod_t
{ "end_col": 43, "end_line": 29, "start_col": 36, "start_line": 29 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_Mod_ok = Mod_ok
let va_Mod_ok =
false
null
false
Mod_ok
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.Mod_ok" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_Mod_ok : Vale.X64.QuickCode.mod_t
[]
Vale.X64.QuickCode.va_Mod_ok
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Vale.X64.QuickCode.mod_t
{ "end_col": 41, "end_line": 25, "start_col": 35, "start_line": 25 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_Mod_flags = Mod_flags
let va_Mod_flags =
false
null
false
Mod_flags
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.Mod_flags" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r)
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_Mod_flags : Vale.X64.QuickCode.mod_t
[]
Vale.X64.QuickCode.va_Mod_flags
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Vale.X64.QuickCode.mod_t
{ "end_col": 47, "end_line": 28, "start_col": 38, "start_line": 28 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let t_require (s0:va_state) = state_inv s0
let t_require (s0: va_state) =
false
null
false
state_inv s0
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Vale.X64.Decls.state_inv", "Vale.Def.Prop_s.prop0" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:vale_state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_dst_opr64 (o:operand64) : mod_t = match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None // TODO: support destination memory operands | OStack _ -> Mod_None // TODO: support destination stack operands [@va_qattr qmodattr] let va_mod_reg_opr64 (o:reg_operand) : mod_t = match o with | OReg r -> Mod_reg (Reg 0 r) [@va_qattr qmodattr] let va_mod_xmm (x:reg_xmm) : mod_t = Mod_reg (Reg 1 x) [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:vale_state) -> (wp_continue:vale_state -> a -> Type0) -> Type0 let k_true (#a:Type0) (_:vale_state) (_:a) = True let t_monotone (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:vale_state -> k1:(vale_state -> a -> Type0) -> k2:(vale_state -> a -> Type0) -> Lemma (requires (forall (s:vale_state) (g:a). k1 s g ==> k2 s g)) (ensures wp s0 k1 ==> wp s0 k2) let t_compute (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:vale_state -> Ghost (vale_state & va_fuel & a) (requires wp s0 k_true) (ensures fun _ -> True)
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val t_require : s0: Vale.X64.Decls.va_state -> Vale.Def.Prop_s.prop0
[]
Vale.X64.QuickCode.t_require
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
s0: Vale.X64.Decls.va_state -> Vale.Def.Prop_s.prop0
{ "end_col": 42, "end_line": 105, "start_col": 30, "start_line": 105 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n
let va_Mod_mem_heaplet (n: heaplet_id) =
false
null
false
Mod_mem_heaplet n
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.Decls.heaplet_id", "Vale.X64.QuickCode.Mod_mem_heaplet", "Vale.X64.QuickCode.mod_t" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_Mod_mem_heaplet : n: Vale.X64.Decls.heaplet_id -> Vale.X64.QuickCode.mod_t
[]
Vale.X64.QuickCode.va_Mod_mem_heaplet
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
n: Vale.X64.Decls.heaplet_id -> Vale.X64.QuickCode.mod_t
{ "end_col": 76, "end_line": 31, "start_col": 59, "start_line": 31 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_t_ensure (#a:Type0) (c:va_code) (mods:mods_t) (s0:vale_state) (k:(vale_state -> a -> Type0)) = fun (sM, f0, g) -> eval_code c s0 f0 sM /\ update_state_mods mods sM s0 == sM /\ state_inv sM /\ k sM g
let va_t_ensure (#a: Type0) (c: va_code) (mods: mods_t) (s0: vale_state) (k: (vale_state -> a -> Type0)) =
false
null
false
fun (sM, f0, g) -> eval_code c s0 f0 sM /\ update_state_mods mods sM s0 == sM /\ state_inv sM /\ k sM g
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_code", "Vale.X64.QuickCode.mods_t", "Vale.X64.State.vale_state", "FStar.Pervasives.Native.tuple3", "Vale.X64.Decls.va_fuel", "Prims.l_and", "Vale.X64.Decls.eval_code", "Prims.eq2", "Vale.X64.QuickCode.update_state_mods", "Vale.X64.Decls.state_inv", "Prims.logical" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:vale_state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_dst_opr64 (o:operand64) : mod_t = match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None // TODO: support destination memory operands | OStack _ -> Mod_None // TODO: support destination stack operands [@va_qattr qmodattr] let va_mod_reg_opr64 (o:reg_operand) : mod_t = match o with | OReg r -> Mod_reg (Reg 0 r) [@va_qattr qmodattr] let va_mod_xmm (x:reg_xmm) : mod_t = Mod_reg (Reg 1 x) [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:vale_state) -> (wp_continue:vale_state -> a -> Type0) -> Type0 let k_true (#a:Type0) (_:vale_state) (_:a) = True let t_monotone (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:vale_state -> k1:(vale_state -> a -> Type0) -> k2:(vale_state -> a -> Type0) -> Lemma (requires (forall (s:vale_state) (g:a). k1 s g ==> k2 s g)) (ensures wp s0 k1 ==> wp s0 k2) let t_compute (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:vale_state -> Ghost (vale_state & va_fuel & a) (requires wp s0 k_true) (ensures fun _ -> True) let t_require (s0:va_state) = state_inv s0 unfold let va_t_require = t_require
false
false
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_t_ensure : c: Vale.X64.Decls.va_code -> mods: Vale.X64.QuickCode.mods_t -> s0: Vale.X64.State.vale_state -> k: (_: Vale.X64.State.vale_state -> _: a -> Type0) -> _: ((Vale.X64.State.vale_state * Vale.X64.Decls.va_fuel) * a) -> Prims.logical
[]
Vale.X64.QuickCode.va_t_ensure
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
c: Vale.X64.Decls.va_code -> mods: Vale.X64.QuickCode.mods_t -> s0: Vale.X64.State.vale_state -> k: (_: Vale.X64.State.vale_state -> _: a -> Type0) -> _: ((Vale.X64.State.vale_state * Vale.X64.Decls.va_fuel) * a) -> Prims.logical
{ "end_col": 105, "end_line": 109, "start_col": 2, "start_line": 109 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_t_require = t_require
let va_t_require =
false
null
false
t_require
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.t_require" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:vale_state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_dst_opr64 (o:operand64) : mod_t = match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None // TODO: support destination memory operands | OStack _ -> Mod_None // TODO: support destination stack operands [@va_qattr qmodattr] let va_mod_reg_opr64 (o:reg_operand) : mod_t = match o with | OReg r -> Mod_reg (Reg 0 r) [@va_qattr qmodattr] let va_mod_xmm (x:reg_xmm) : mod_t = Mod_reg (Reg 1 x) [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:vale_state) -> (wp_continue:vale_state -> a -> Type0) -> Type0 let k_true (#a:Type0) (_:vale_state) (_:a) = True let t_monotone (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:vale_state -> k1:(vale_state -> a -> Type0) -> k2:(vale_state -> a -> Type0) -> Lemma (requires (forall (s:vale_state) (g:a). k1 s g ==> k2 s g)) (ensures wp s0 k1 ==> wp s0 k2) let t_compute (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:vale_state -> Ghost (vale_state & va_fuel & a) (requires wp s0 k_true) (ensures fun _ -> True)
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_t_require : s0: Vale.X64.Decls.va_state -> Vale.Def.Prop_s.prop0
[]
Vale.X64.QuickCode.va_t_require
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
s0: Vale.X64.Decls.va_state -> Vale.Def.Prop_s.prop0
{ "end_col": 35, "end_line": 106, "start_col": 26, "start_line": 106 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quickCode = quickCode
let va_quickCode =
false
null
false
quickCode
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.quickCode" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:vale_state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_dst_opr64 (o:operand64) : mod_t = match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None // TODO: support destination memory operands | OStack _ -> Mod_None // TODO: support destination stack operands [@va_qattr qmodattr] let va_mod_reg_opr64 (o:reg_operand) : mod_t = match o with | OReg r -> Mod_reg (Reg 0 r) [@va_qattr qmodattr] let va_mod_xmm (x:reg_xmm) : mod_t = Mod_reg (Reg 1 x) [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:vale_state) -> (wp_continue:vale_state -> a -> Type0) -> Type0 let k_true (#a:Type0) (_:vale_state) (_:a) = True let t_monotone (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:vale_state -> k1:(vale_state -> a -> Type0) -> k2:(vale_state -> a -> Type0) -> Lemma (requires (forall (s:vale_state) (g:a). k1 s g ==> k2 s g)) (ensures wp s0 k1 ==> wp s0 k2) let t_compute (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:vale_state -> Ghost (vale_state & va_fuel & a) (requires wp s0 k_true) (ensures fun _ -> True) let t_require (s0:va_state) = state_inv s0 unfold let va_t_require = t_require let va_t_ensure (#a:Type0) (c:va_code) (mods:mods_t) (s0:vale_state) (k:(vale_state -> a -> Type0)) = fun (sM, f0, g) -> eval_code c s0 f0 sM /\ update_state_mods mods sM s0 == sM /\ state_inv sM /\ k sM g let t_proof (#a:Type0) (c:va_code) (mods:mods_t) (wp:quickProc_wp a) : Type = s0:vale_state -> k:(vale_state -> a -> Type0) -> Ghost (vale_state & va_fuel & a) (requires t_require s0 /\ wp s0 k) (ensures va_t_ensure c mods s0 k) // Code that returns a ghost value of type a [@va_qattr] noeq type quickCode (a:Type0) : va_code -> Type = | QProc: c:va_code -> mods:mods_t -> wp:quickProc_wp a -> proof:t_proof c mods wp -> quickCode a c
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quickCode : a: Type0 -> _: Vale.X64.Machine_s.precode Vale.X64.Decls.ins Vale.X64.Decls.ocmp -> Type
[]
Vale.X64.QuickCode.va_quickCode
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: Type0 -> _: Vale.X64.Machine_s.precode Vale.X64.Decls.ins Vale.X64.Decls.ocmp -> Type
{ "end_col": 35, "end_line": 127, "start_col": 26, "start_line": 127 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_QProc = QProc
let va_QProc =
false
null
false
QProc
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.QProc", "Vale.X64.Machine_s.precode", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Prims.list", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.quickProc_wp", "Vale.X64.QuickCode.t_proof", "Vale.X64.QuickCode.quickCode" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:vale_state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_dst_opr64 (o:operand64) : mod_t = match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None // TODO: support destination memory operands | OStack _ -> Mod_None // TODO: support destination stack operands [@va_qattr qmodattr] let va_mod_reg_opr64 (o:reg_operand) : mod_t = match o with | OReg r -> Mod_reg (Reg 0 r) [@va_qattr qmodattr] let va_mod_xmm (x:reg_xmm) : mod_t = Mod_reg (Reg 1 x) [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:vale_state) -> (wp_continue:vale_state -> a -> Type0) -> Type0 let k_true (#a:Type0) (_:vale_state) (_:a) = True let t_monotone (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:vale_state -> k1:(vale_state -> a -> Type0) -> k2:(vale_state -> a -> Type0) -> Lemma (requires (forall (s:vale_state) (g:a). k1 s g ==> k2 s g)) (ensures wp s0 k1 ==> wp s0 k2) let t_compute (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:vale_state -> Ghost (vale_state & va_fuel & a) (requires wp s0 k_true) (ensures fun _ -> True) let t_require (s0:va_state) = state_inv s0 unfold let va_t_require = t_require let va_t_ensure (#a:Type0) (c:va_code) (mods:mods_t) (s0:vale_state) (k:(vale_state -> a -> Type0)) = fun (sM, f0, g) -> eval_code c s0 f0 sM /\ update_state_mods mods sM s0 == sM /\ state_inv sM /\ k sM g let t_proof (#a:Type0) (c:va_code) (mods:mods_t) (wp:quickProc_wp a) : Type = s0:vale_state -> k:(vale_state -> a -> Type0) -> Ghost (vale_state & va_fuel & a) (requires t_require s0 /\ wp s0 k) (ensures va_t_ensure c mods s0 k) // Code that returns a ghost value of type a [@va_qattr] noeq type quickCode (a:Type0) : va_code -> Type = | QProc: c:va_code -> mods:mods_t -> wp:quickProc_wp a -> proof:t_proof c mods wp -> quickCode a c [@va_qattr] unfold let va_quickCode = quickCode
false
false
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_QProc : c: Vale.X64.Machine_s.precode Vale.X64.Decls.ins Vale.X64.Decls.ocmp -> mods: Prims.list Vale.X64.QuickCode.mod_t -> wp: Vale.X64.QuickCode.quickProc_wp _ -> proof: Vale.X64.QuickCode.t_proof c mods wp -> Vale.X64.QuickCode.quickCode _ c
[]
Vale.X64.QuickCode.va_QProc
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
c: Vale.X64.Machine_s.precode Vale.X64.Decls.ins Vale.X64.Decls.ocmp -> mods: Prims.list Vale.X64.QuickCode.mod_t -> wp: Vale.X64.QuickCode.quickProc_wp _ -> proof: Vale.X64.QuickCode.t_proof c mods wp -> Vale.X64.QuickCode.quickCode _ c
{ "end_col": 27, "end_line": 130, "start_col": 22, "start_line": 130 }
Prims.Tot
val quickProc_wp (a: Type0) : Type u#1
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let quickProc_wp (a:Type0) : Type u#1 = (s0:vale_state) -> (wp_continue:vale_state -> a -> Type0) -> Type0
val quickProc_wp (a: Type0) : Type u#1 let quickProc_wp (a: Type0) : Type u#1 =
false
null
false
s0: vale_state -> (wp_continue: vale_state -> a -> Type0) -> Type0
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.State.vale_state" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:vale_state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_dst_opr64 (o:operand64) : mod_t = match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None // TODO: support destination memory operands | OStack _ -> Mod_None // TODO: support destination stack operands [@va_qattr qmodattr] let va_mod_reg_opr64 (o:reg_operand) : mod_t = match o with | OReg r -> Mod_reg (Reg 0 r) [@va_qattr qmodattr] let va_mod_xmm (x:reg_xmm) : mod_t = Mod_reg (Reg 1 x) [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val quickProc_wp (a: Type0) : Type u#1
[]
Vale.X64.QuickCode.quickProc_wp
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: Type0 -> Type
{ "end_col": 106, "end_line": 91, "start_col": 40, "start_line": 91 }
Prims.Tot
val update_state_mods_norm (mods: mods_t) (sM sK: vale_state) : vale_state
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK)
val update_state_mods_norm (mods: mods_t) (sM sK: vale_state) : vale_state let update_state_mods_norm (mods: mods_t) (sM sK: vale_state) : vale_state =
false
null
false
norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK)
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.mods_t", "Vale.X64.State.vale_state", "FStar.Pervasives.norm", "Prims.Cons", "FStar.Pervasives.norm_step", "FStar.Pervasives.iota", "FStar.Pervasives.zeta", "FStar.Pervasives.delta_attr", "Prims.string", "Prims.Nil", "FStar.Pervasives.delta_only", "Vale.X64.QuickCode.update_state_mods" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr]
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val update_state_mods_norm (mods: mods_t) (sM sK: vale_state) : vale_state
[]
Vale.X64.QuickCode.update_state_mods_norm
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
mods: Vale.X64.QuickCode.mods_t -> sM: Vale.X64.State.vale_state -> sK: Vale.X64.State.vale_state -> Vale.X64.State.vale_state
{ "end_col": 129, "end_line": 69, "start_col": 2, "start_line": 69 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r)
let va_Mod_reg64 (r: reg_64) =
false
null
false
Mod_reg (Reg 0 r)
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.Machine_s.reg_64", "Vale.X64.QuickCode.Mod_reg", "Vale.X64.Machine_s.Reg", "Vale.X64.QuickCode.mod_t" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_Mod_reg64 : r: Vale.X64.Machine_s.reg_64 -> Vale.X64.QuickCode.mod_t
[]
Vale.X64.QuickCode.va_Mod_reg64
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
r: Vale.X64.Machine_s.reg_64 -> Vale.X64.QuickCode.mod_t
{ "end_col": 66, "end_line": 26, "start_col": 49, "start_line": 26 }
Prims.Tot
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r)
let va_Mod_xmm (r: reg_xmm) =
false
null
false
Mod_reg (Reg 1 r)
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.Machine_s.reg_xmm", "Vale.X64.QuickCode.Mod_reg", "Vale.X64.Machine_s.Reg", "Vale.X64.QuickCode.mod_t" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_Mod_xmm : r: Vale.X64.Machine_s.reg_xmm -> Vale.X64.QuickCode.mod_t
[]
Vale.X64.QuickCode.va_Mod_xmm
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
r: Vale.X64.Machine_s.reg_xmm -> Vale.X64.QuickCode.mod_t
{ "end_col": 65, "end_line": 27, "start_col": 48, "start_line": 27 }
Prims.Tot
val va_mod_reg_opr64 (o: reg_operand) : mod_t
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_mod_reg_opr64 (o:reg_operand) : mod_t = match o with | OReg r -> Mod_reg (Reg 0 r)
val va_mod_reg_opr64 (o: reg_operand) : mod_t let va_mod_reg_opr64 (o: reg_operand) : mod_t =
false
null
false
match o with | OReg r -> Mod_reg (Reg 0 r)
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.Decls.reg_operand", "Vale.X64.Machine_s.reg_64", "Vale.X64.QuickCode.Mod_reg", "Vale.X64.Machine_s.Reg", "Vale.X64.QuickCode.mod_t" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:vale_state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_dst_opr64 (o:operand64) : mod_t = match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None // TODO: support destination memory operands | OStack _ -> Mod_None // TODO: support destination stack operands [@va_qattr qmodattr]
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_mod_reg_opr64 (o: reg_operand) : mod_t
[]
Vale.X64.QuickCode.va_mod_reg_opr64
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
o: Vale.X64.Decls.reg_operand -> Vale.X64.QuickCode.mod_t
{ "end_col": 31, "end_line": 86, "start_col": 2, "start_line": 85 }
Prims.Tot
val va_mod_xmm (x: reg_xmm) : mod_t
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_mod_xmm (x:reg_xmm) : mod_t = Mod_reg (Reg 1 x)
val va_mod_xmm (x: reg_xmm) : mod_t let va_mod_xmm (x: reg_xmm) : mod_t =
false
null
false
Mod_reg (Reg 1 x)
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.Machine_s.reg_xmm", "Vale.X64.QuickCode.Mod_reg", "Vale.X64.Machine_s.Reg", "Vale.X64.QuickCode.mod_t" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:vale_state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_dst_opr64 (o:operand64) : mod_t = match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None // TODO: support destination memory operands | OStack _ -> Mod_None // TODO: support destination stack operands [@va_qattr qmodattr] let va_mod_reg_opr64 (o:reg_operand) : mod_t = match o with | OReg r -> Mod_reg (Reg 0 r)
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_mod_xmm (x: reg_xmm) : mod_t
[]
Vale.X64.QuickCode.va_mod_xmm
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
x: Vale.X64.Machine_s.reg_xmm -> Vale.X64.QuickCode.mod_t
{ "end_col": 75, "end_line": 88, "start_col": 58, "start_line": 88 }
Prims.Tot
val update_state_mods (mods: mods_t) (sM sK: vale_state) : vale_state
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK)
val update_state_mods (mods: mods_t) (sM sK: vale_state) : vale_state let rec update_state_mods (mods: mods_t) (sM sK: vale_state) : vale_state =
false
null
false
match mods with | [] -> sK | m :: mods -> update_state_mod m sM (update_state_mods mods sM sK)
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.mods_t", "Vale.X64.State.vale_state", "Vale.X64.QuickCode.mod_t", "Prims.list", "Vale.X64.QuickCode.update_state_mod", "Vale.X64.QuickCode.update_state_mods" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr]
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val update_state_mods (mods: mods_t) (sM sK: vale_state) : vale_state
[ "recursion" ]
Vale.X64.QuickCode.update_state_mods
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
mods: Vale.X64.QuickCode.mods_t -> sM: Vale.X64.State.vale_state -> sK: Vale.X64.State.vale_state -> Vale.X64.State.vale_state
{ "end_col": 67, "end_line": 65, "start_col": 2, "start_line": 63 }
Prims.Tot
val va_mod_dst_opr64 (o: operand64) : mod_t
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_mod_dst_opr64 (o:operand64) : mod_t = match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None // TODO: support destination memory operands | OStack _ -> Mod_None
val va_mod_dst_opr64 (o: operand64) : mod_t let va_mod_dst_opr64 (o: operand64) : mod_t =
false
null
false
match o with | OConst n -> Mod_None | OReg r -> Mod_reg (Reg 0 r) | OMem _ -> Mod_None | OStack _ -> Mod_None
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.Machine_s.operand64", "Vale.X64.Machine_s.nat64", "Vale.X64.QuickCode.Mod_None", "Vale.X64.Machine_s.reg_64", "Vale.X64.QuickCode.Mod_reg", "Vale.X64.Machine_s.Reg", "Vale.X64.Machine_s.tmaddr", "Vale.X64.QuickCode.mod_t" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:vale_state) : vale_state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:vale_state) : vale_state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:vale_state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr]
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_mod_dst_opr64 (o: operand64) : mod_t
[]
Vale.X64.QuickCode.va_mod_dst_opr64
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
o: Vale.X64.Machine_s.operand64 -> Vale.X64.QuickCode.mod_t
{ "end_col": 24, "end_line": 81, "start_col": 2, "start_line": 77 }
Prims.Tot
val update_state_mod (m: mod_t) (sM sK: vale_state) : vale_state
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let update_state_mod (m:mod_t) (sM sK:vale_state) : vale_state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK
val update_state_mod (m: mod_t) (sM sK: vale_state) : vale_state let update_state_mod (m: mod_t) (sM sK: vale_state) : vale_state =
false
null
false
match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> update_register r sM sK | Mod_flags -> va_update_flags sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.mod_t", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_update_ok", "Vale.X64.Machine_s.reg", "Vale.X64.Decls.update_register", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_mem", "Vale.X64.Decls.va_update_mem_layout", "Vale.X64.Decls.heaplet_id", "Vale.X64.Decls.va_update_mem_heaplet", "Vale.X64.Decls.va_update_stack", "Vale.X64.Decls.va_update_stackTaint" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr]
false
true
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val update_state_mod (m: mod_t) (sM sK: vale_state) : vale_state
[]
Vale.X64.QuickCode.update_state_mod
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
m: Vale.X64.QuickCode.mod_t -> sM: Vale.X64.State.vale_state -> sK: Vale.X64.State.vale_state -> Vale.X64.State.vale_state
{ "end_col": 48, "end_line": 59, "start_col": 2, "start_line": 50 }
Prims.Pure
val mod_eq (x y: mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y))
[ { "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.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with Mod_flags -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false)
val mod_eq (x y: mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) let mod_eq (x y: mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) =
false
null
false
match x with | Mod_None -> (match y with | Mod_None -> true | _ -> false) | Mod_ok -> (match y with | Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with | Mod_reg ry -> rx = ry | _ -> false) | Mod_flags -> (match y with | Mod_flags -> true | _ -> false) | Mod_mem -> (match y with | Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with | Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with | Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with | Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with | Mod_stackTaint -> true | _ -> false)
{ "checked_file": "Vale.X64.QuickCode.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.X64.QuickCode.fst" }
[]
[ "Vale.X64.QuickCode.mod_t", "Prims.bool", "Vale.X64.Machine_s.reg", "Prims.op_Equality", "Vale.X64.Decls.heaplet_id", "Prims.l_True", "Prims.eq2" ]
[]
module Vale.X64.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.X64.Machine_s open Vale.Arch.HeapImpl open Vale.X64.State open Vale.X64.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_flags: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg64 (r:reg_64) = Mod_reg (Reg 0 r) [@va_qattr] unfold let va_Mod_xmm (r:reg_xmm) = Mod_reg (Reg 1 r) [@va_qattr] unfold let va_Mod_flags = Mod_flags [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"]
false
false
Vale.X64.QuickCode.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val mod_eq (x y: mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y))
[]
Vale.X64.QuickCode.mod_eq
{ "file_name": "vale/code/arch/x64/Vale.X64.QuickCode.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
x: Vale.X64.QuickCode.mod_t -> y: Vale.X64.QuickCode.mod_t -> Prims.Pure Prims.bool
{ "end_col": 72, "end_line": 46, "start_col": 2, "start_line": 37 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let raw_comparator (a:Type) = a -> a -> order
let raw_comparator (a: Type) =
false
null
false
a -> a -> order
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Order.order" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt
false
true
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
val raw_comparator : a: Type -> Type
[]
FStar.Class.TotalOrder.Raw.raw_comparator
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
a: Type -> Type
{ "end_col": 45, "end_line": 25, "start_col": 30, "start_line": 25 }
Prims.Tot
[@@ FStar.Tactics.Typeclasses.tcinstance] val totalorder_list (#a: _) (d: totalorder a) : totalorder (list a)
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
instance totalorder_list #a (d : totalorder a) : totalorder (list a) = { compare = raw_compare_lists d; }
[@@ FStar.Tactics.Typeclasses.tcinstance] val totalorder_list (#a: _) (d: totalorder a) : totalorder (list a) [@@ FStar.Tactics.Typeclasses.tcinstance] let totalorder_list #a (d: totalorder a) : totalorder (list a) =
false
null
false
{ compare = raw_compare_lists d }
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Class.TotalOrder.Raw.totalorder", "FStar.Class.TotalOrder.Raw.Mktotalorder", "Prims.list", "FStar.Class.TotalOrder.Raw.raw_compare_lists" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt let raw_comparator (a:Type) = a -> a -> order class totalorder (a:Type) = { compare : raw_comparator a; } val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<) x y = compare x y = Lt val (>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>) x y = compare x y = Gt val (=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (=) x y = compare x y = Eq val (<=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<=) x y = compare x y <> Gt val (>=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>=) x y = compare x y <> Lt val (<>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<>) x y = compare x y <> Eq instance _ : totalorder int = { compare = Order.compare_int; } instance _ : totalorder bool = { compare = (fun b1 b2 -> match b1, b2 with | false, false | true, true -> Eq | false, _ -> Lt | _ -> Gt); } (* Lex order on tuples *) instance totalorder_pair #a #b (d1 : totalorder a) (d2 : totalorder b) : totalorder (a & b) = { compare = (fun (xa,xb) (ya, yb) -> match compare xa ya with | Lt -> Lt | Gt -> Gt | Eq -> compare xb yb); } instance totalorder_option #a (d : totalorder a) : totalorder (option a) = { compare = (fun o1 o2 -> match o1, o2 with | None, None -> Eq | None, Some _ -> Lt | Some _, None -> Gt | Some a1, Some a2 -> compare a1 a2); } let rec raw_compare_lists #a (d : totalorder a) : raw_comparator (list a) = fun l1 l2 -> match l1, l2 with | [], [] -> Eq | [], _::_ -> Lt | _::_, [] -> Gt | x::xs, y::ys -> match compare x y with | Lt -> Lt | Gt -> Gt | Eq -> raw_compare_lists d xs ys
false
false
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
[@@ FStar.Tactics.Typeclasses.tcinstance] val totalorder_list (#a: _) (d: totalorder a) : totalorder (list a)
[]
FStar.Class.TotalOrder.Raw.totalorder_list
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
d: FStar.Class.TotalOrder.Raw.totalorder a -> FStar.Class.TotalOrder.Raw.totalorder (Prims.list a)
{ "end_col": 32, "end_line": 87, "start_col": 2, "start_line": 87 }
Prims.Tot
val (=) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let (=) x y = compare x y = Eq
val (=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let op_Equals x y =
false
null
false
compare x y = Eq
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Class.TotalOrder.Raw.totalorder", "Prims.op_Equality", "FStar.Order.order", "FStar.Class.TotalOrder.Raw.compare", "FStar.Order.Eq", "Prims.bool" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt let raw_comparator (a:Type) = a -> a -> order class totalorder (a:Type) = { compare : raw_comparator a; } val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<) x y = compare x y = Lt val (>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>) x y = compare x y = Gt
false
false
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
val (=) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[]
FStar.Class.TotalOrder.Raw.op_Equals
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{| _: FStar.Class.TotalOrder.Raw.totalorder t |} -> x: t -> y: t -> Prims.bool
{ "end_col": 30, "end_line": 38, "start_col": 14, "start_line": 38 }
Prims.Tot
val (<>) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let (<>) x y = compare x y <> Eq
val (<>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let op_Less_Greater x y =
false
null
false
compare x y <> Eq
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Class.TotalOrder.Raw.totalorder", "Prims.op_disEquality", "FStar.Order.order", "FStar.Class.TotalOrder.Raw.compare", "FStar.Order.Eq", "Prims.bool" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt let raw_comparator (a:Type) = a -> a -> order class totalorder (a:Type) = { compare : raw_comparator a; } val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<) x y = compare x y = Lt val (>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>) x y = compare x y = Gt val (=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (=) x y = compare x y = Eq val (<=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<=) x y = compare x y <> Gt val (>=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>=) x y = compare x y <> Lt
false
false
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
val (<>) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[]
FStar.Class.TotalOrder.Raw.op_Less_Greater
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{| _: FStar.Class.TotalOrder.Raw.totalorder t |} -> x: t -> y: t -> Prims.bool
{ "end_col": 32, "end_line": 47, "start_col": 15, "start_line": 47 }
Prims.Tot
val (>=) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let (>=) x y = compare x y <> Lt
val (>=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let op_Greater_Equals x y =
false
null
false
compare x y <> Lt
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Class.TotalOrder.Raw.totalorder", "Prims.op_disEquality", "FStar.Order.order", "FStar.Class.TotalOrder.Raw.compare", "FStar.Order.Lt", "Prims.bool" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt let raw_comparator (a:Type) = a -> a -> order class totalorder (a:Type) = { compare : raw_comparator a; } val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<) x y = compare x y = Lt val (>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>) x y = compare x y = Gt val (=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (=) x y = compare x y = Eq val (<=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<=) x y = compare x y <> Gt
false
false
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
val (>=) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[]
FStar.Class.TotalOrder.Raw.op_Greater_Equals
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{| _: FStar.Class.TotalOrder.Raw.totalorder t |} -> x: t -> y: t -> Prims.bool
{ "end_col": 32, "end_line": 44, "start_col": 15, "start_line": 44 }
Prims.Tot
val (<=) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let (<=) x y = compare x y <> Gt
val (<=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let op_Less_Equals x y =
false
null
false
compare x y <> Gt
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Class.TotalOrder.Raw.totalorder", "Prims.op_disEquality", "FStar.Order.order", "FStar.Class.TotalOrder.Raw.compare", "FStar.Order.Gt", "Prims.bool" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt let raw_comparator (a:Type) = a -> a -> order class totalorder (a:Type) = { compare : raw_comparator a; } val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<) x y = compare x y = Lt val (>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>) x y = compare x y = Gt val (=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (=) x y = compare x y = Eq
false
false
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
val (<=) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[]
FStar.Class.TotalOrder.Raw.op_Less_Equals
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{| _: FStar.Class.TotalOrder.Raw.totalorder t |} -> x: t -> y: t -> Prims.bool
{ "end_col": 32, "end_line": 41, "start_col": 15, "start_line": 41 }
Prims.Tot
val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let (<) x y = compare x y = Lt
val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool let op_Less x y =
false
null
false
compare x y = Lt
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Class.TotalOrder.Raw.totalorder", "Prims.op_Equality", "FStar.Order.order", "FStar.Class.TotalOrder.Raw.compare", "FStar.Order.Lt", "Prims.bool" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt let raw_comparator (a:Type) = a -> a -> order class totalorder (a:Type) = { compare : raw_comparator a; }
false
false
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[]
FStar.Class.TotalOrder.Raw.op_Less
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{| _: FStar.Class.TotalOrder.Raw.totalorder t |} -> x: t -> y: t -> Prims.bool
{ "end_col": 30, "end_line": 32, "start_col": 14, "start_line": 32 }
Prims.Tot
val (>) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let (>) x y = compare x y = Gt
val (>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let op_Greater x y =
false
null
false
compare x y = Gt
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Class.TotalOrder.Raw.totalorder", "Prims.op_Equality", "FStar.Order.order", "FStar.Class.TotalOrder.Raw.compare", "FStar.Order.Gt", "Prims.bool" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt let raw_comparator (a:Type) = a -> a -> order class totalorder (a:Type) = { compare : raw_comparator a; } val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<) x y = compare x y = Lt
false
false
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
val (>) : #t:Type -> {|totalorder t|} -> t -> t -> bool
[]
FStar.Class.TotalOrder.Raw.op_Greater
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{| _: FStar.Class.TotalOrder.Raw.totalorder t |} -> x: t -> y: t -> Prims.bool
{ "end_col": 30, "end_line": 35, "start_col": 14, "start_line": 35 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt
let flip =
false
null
false
function | Lt -> Gt | Eq -> Eq | Gt -> Lt
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Order.order", "FStar.Order.Gt", "FStar.Order.Eq", "FStar.Order.Lt" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order
false
true
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
val flip : _: FStar.Order.order -> FStar.Order.order
[]
FStar.Class.TotalOrder.Raw.flip
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
_: FStar.Order.order -> FStar.Order.order
{ "end_col": 12, "end_line": 23, "start_col": 11, "start_line": 20 }
Prims.Tot
[@@ FStar.Tactics.Typeclasses.tcinstance] val totalorder_pair (#a #b: _) (d1: totalorder a) (d2: totalorder b) : totalorder (a & b)
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
instance totalorder_pair #a #b (d1 : totalorder a) (d2 : totalorder b) : totalorder (a & b) = { compare = (fun (xa,xb) (ya, yb) -> match compare xa ya with | Lt -> Lt | Gt -> Gt | Eq -> compare xb yb); }
[@@ FStar.Tactics.Typeclasses.tcinstance] val totalorder_pair (#a #b: _) (d1: totalorder a) (d2: totalorder b) : totalorder (a & b) [@@ FStar.Tactics.Typeclasses.tcinstance] let totalorder_pair #a #b (d1: totalorder a) (d2: totalorder b) : totalorder (a & b) =
false
null
false
{ compare = (fun (xa, xb) (ya, yb) -> match compare xa ya with | Lt -> Lt | Gt -> Gt | Eq -> compare xb yb) }
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Class.TotalOrder.Raw.totalorder", "FStar.Class.TotalOrder.Raw.Mktotalorder", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.Mktuple2", "FStar.Class.TotalOrder.Raw.compare", "FStar.Order.Lt", "FStar.Order.Gt", "FStar.Order.order" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt let raw_comparator (a:Type) = a -> a -> order class totalorder (a:Type) = { compare : raw_comparator a; } val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<) x y = compare x y = Lt val (>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>) x y = compare x y = Gt val (=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (=) x y = compare x y = Eq val (<=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<=) x y = compare x y <> Gt val (>=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>=) x y = compare x y <> Lt val (<>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<>) x y = compare x y <> Eq instance _ : totalorder int = { compare = Order.compare_int; } instance _ : totalorder bool = { compare = (fun b1 b2 -> match b1, b2 with | false, false | true, true -> Eq | false, _ -> Lt | _ -> Gt); } (* Lex order on tuples *)
false
false
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
[@@ FStar.Tactics.Typeclasses.tcinstance] val totalorder_pair (#a #b: _) (d1: totalorder a) (d2: totalorder b) : totalorder (a & b)
[]
FStar.Class.TotalOrder.Raw.totalorder_pair
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
d1: FStar.Class.TotalOrder.Raw.totalorder a -> d2: FStar.Class.TotalOrder.Raw.totalorder b -> FStar.Class.TotalOrder.Raw.totalorder (a * b)
{ "end_col": 27, "end_line": 63, "start_col": 2, "start_line": 59 }
Prims.Tot
[@@ FStar.Tactics.Typeclasses.tcinstance] val totalorder_option (#a: _) (d: totalorder a) : totalorder (option a)
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
instance totalorder_option #a (d : totalorder a) : totalorder (option a) = { compare = (fun o1 o2 -> match o1, o2 with | None, None -> Eq | None, Some _ -> Lt | Some _, None -> Gt | Some a1, Some a2 -> compare a1 a2); }
[@@ FStar.Tactics.Typeclasses.tcinstance] val totalorder_option (#a: _) (d: totalorder a) : totalorder (option a) [@@ FStar.Tactics.Typeclasses.tcinstance] let totalorder_option #a (d: totalorder a) : totalorder (option a) =
false
null
false
{ compare = (fun o1 o2 -> match o1, o2 with | None, None -> Eq | None, Some _ -> Lt | Some _, None -> Gt | Some a1, Some a2 -> compare a1 a2) }
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Class.TotalOrder.Raw.totalorder", "FStar.Class.TotalOrder.Raw.Mktotalorder", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.Mktuple2", "FStar.Order.Eq", "FStar.Order.Lt", "FStar.Order.Gt", "FStar.Class.TotalOrder.Raw.compare", "FStar.Order.order" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt let raw_comparator (a:Type) = a -> a -> order class totalorder (a:Type) = { compare : raw_comparator a; } val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<) x y = compare x y = Lt val (>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>) x y = compare x y = Gt val (=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (=) x y = compare x y = Eq val (<=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<=) x y = compare x y <> Gt val (>=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>=) x y = compare x y <> Lt val (<>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<>) x y = compare x y <> Eq instance _ : totalorder int = { compare = Order.compare_int; } instance _ : totalorder bool = { compare = (fun b1 b2 -> match b1, b2 with | false, false | true, true -> Eq | false, _ -> Lt | _ -> Gt); } (* Lex order on tuples *) instance totalorder_pair #a #b (d1 : totalorder a) (d2 : totalorder b) : totalorder (a & b) = { compare = (fun (xa,xb) (ya, yb) -> match compare xa ya with | Lt -> Lt | Gt -> Gt | Eq -> compare xb yb); }
false
false
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
[@@ FStar.Tactics.Typeclasses.tcinstance] val totalorder_option (#a: _) (d: totalorder a) : totalorder (option a)
[]
FStar.Class.TotalOrder.Raw.totalorder_option
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
d: FStar.Class.TotalOrder.Raw.totalorder a -> FStar.Class.TotalOrder.Raw.totalorder (FStar.Pervasives.Native.option a)
{ "end_col": 41, "end_line": 71, "start_col": 2, "start_line": 67 }
Prims.Tot
val raw_compare_lists (#a: _) (d: totalorder a) : raw_comparator (list a)
[ { "abbrev": false, "full_module": "FStar.Order", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Class.TotalOrder", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec raw_compare_lists #a (d : totalorder a) : raw_comparator (list a) = fun l1 l2 -> match l1, l2 with | [], [] -> Eq | [], _::_ -> Lt | _::_, [] -> Gt | x::xs, y::ys -> match compare x y with | Lt -> Lt | Gt -> Gt | Eq -> raw_compare_lists d xs ys
val raw_compare_lists (#a: _) (d: totalorder a) : raw_comparator (list a) let rec raw_compare_lists #a (d: totalorder a) : raw_comparator (list a) =
false
null
false
fun l1 l2 -> match l1, l2 with | [], [] -> Eq | [], _ :: _ -> Lt | _ :: _, [] -> Gt | x :: xs, y :: ys -> match compare x y with | Lt -> Lt | Gt -> Gt | Eq -> raw_compare_lists d xs ys
{ "checked_file": "FStar.Class.TotalOrder.Raw.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Typeclasses.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked" ], "interface_file": false, "source_file": "FStar.Class.TotalOrder.Raw.fst" }
[ "total" ]
[ "FStar.Class.TotalOrder.Raw.totalorder", "Prims.list", "FStar.Pervasives.Native.Mktuple2", "FStar.Order.Eq", "FStar.Order.Lt", "FStar.Order.Gt", "FStar.Class.TotalOrder.Raw.compare", "FStar.Class.TotalOrder.Raw.raw_compare_lists", "FStar.Order.order" ]
[]
(* 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.Class.TotalOrder.Raw open FStar.Order let flip = function | Lt -> Gt | Eq -> Eq | Gt -> Lt let raw_comparator (a:Type) = a -> a -> order class totalorder (a:Type) = { compare : raw_comparator a; } val (<) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<) x y = compare x y = Lt val (>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>) x y = compare x y = Gt val (=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (=) x y = compare x y = Eq val (<=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<=) x y = compare x y <> Gt val (>=) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (>=) x y = compare x y <> Lt val (<>) : #t:Type -> {|totalorder t|} -> t -> t -> bool let (<>) x y = compare x y <> Eq instance _ : totalorder int = { compare = Order.compare_int; } instance _ : totalorder bool = { compare = (fun b1 b2 -> match b1, b2 with | false, false | true, true -> Eq | false, _ -> Lt | _ -> Gt); } (* Lex order on tuples *) instance totalorder_pair #a #b (d1 : totalorder a) (d2 : totalorder b) : totalorder (a & b) = { compare = (fun (xa,xb) (ya, yb) -> match compare xa ya with | Lt -> Lt | Gt -> Gt | Eq -> compare xb yb); } instance totalorder_option #a (d : totalorder a) : totalorder (option a) = { compare = (fun o1 o2 -> match o1, o2 with | None, None -> Eq | None, Some _ -> Lt | Some _, None -> Gt | Some a1, Some a2 -> compare a1 a2); }
false
false
FStar.Class.TotalOrder.Raw.fst
{ "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" }
null
val raw_compare_lists (#a: _) (d: totalorder a) : raw_comparator (list a)
[ "recursion" ]
FStar.Class.TotalOrder.Raw.raw_compare_lists
{ "file_name": "ulib/FStar.Class.TotalOrder.Raw.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
d: FStar.Class.TotalOrder.Raw.totalorder a -> FStar.Class.TotalOrder.Raw.raw_comparator (Prims.list a)
{ "end_col": 41, "end_line": 84, "start_col": 2, "start_line": 75 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let is_weak = function | WeakHashes | InplaceHashes -> true | _ -> false
let is_weak =
false
null
false
function | WeakHashes | InplaceHashes -> true | _ -> false
{ "checked_file": "HashingOptions.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "HashingOptions.fst" }
[ "total" ]
[ "HashingOptions.check_hashes_t", "Prims.bool" ]
[]
module HashingOptions type check_hashes_t = | WeakHashes | StrongHashes | InplaceHashes
false
true
HashingOptions.fst
{ "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" }
null
val is_weak : _: HashingOptions.check_hashes_t -> Prims.bool
[]
HashingOptions.is_weak
{ "file_name": "src/3d/HashingOptions.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
_: HashingOptions.check_hashes_t -> Prims.bool
{ "end_col": 14, "end_line": 8, "start_col": 14, "start_line": 5 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let string_of_input_stream_binding = function | InputStreamBuffer -> "buffer" | InputStreamExtern _ -> "extern" | InputStreamStatic _ -> "static"
let string_of_input_stream_binding =
false
null
false
function | InputStreamBuffer -> "buffer" | InputStreamExtern _ -> "extern" | InputStreamStatic _ -> "static"
{ "checked_file": "HashingOptions.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "HashingOptions.fst" }
[ "total" ]
[ "HashingOptions.input_stream_binding_t", "Prims.string" ]
[]
module HashingOptions type check_hashes_t = | WeakHashes | StrongHashes | InplaceHashes let is_weak = function | WeakHashes | InplaceHashes -> true | _ -> false type micro_step_t = | MicroStepVerify | MicroStepExtract | MicroStepCopyClangFormat | MicroStepEmitConfig type makefile_type = | MakefileGMake | MakefileNMake type input_stream_binding_t = | InputStreamBuffer | InputStreamExtern: (include_file: string) -> input_stream_binding_t | InputStreamStatic: (include_file: string) -> input_stream_binding_t
false
true
HashingOptions.fst
{ "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" }
null
val string_of_input_stream_binding : _: HashingOptions.input_stream_binding_t -> Prims.string
[]
HashingOptions.string_of_input_stream_binding
{ "file_name": "src/3d/HashingOptions.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
_: HashingOptions.input_stream_binding_t -> Prims.string
{ "end_col": 35, "end_line": 32, "start_col": 37, "start_line": 29 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let input_stream_include = function | InputStreamBuffer -> "" | InputStreamStatic s | InputStreamExtern s -> s
let input_stream_include =
false
null
false
function | InputStreamBuffer -> "" | InputStreamStatic s | InputStreamExtern s -> s
{ "checked_file": "HashingOptions.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "HashingOptions.fst" }
[ "total" ]
[ "HashingOptions.input_stream_binding_t", "Prims.string" ]
[]
module HashingOptions type check_hashes_t = | WeakHashes | StrongHashes | InplaceHashes let is_weak = function | WeakHashes | InplaceHashes -> true | _ -> false type micro_step_t = | MicroStepVerify | MicroStepExtract | MicroStepCopyClangFormat | MicroStepEmitConfig type makefile_type = | MakefileGMake | MakefileNMake type input_stream_binding_t = | InputStreamBuffer | InputStreamExtern: (include_file: string) -> input_stream_binding_t | InputStreamStatic: (include_file: string) -> input_stream_binding_t let string_of_input_stream_binding = function | InputStreamBuffer -> "buffer" | InputStreamExtern _ -> "extern" | InputStreamStatic _ -> "static"
false
true
HashingOptions.fst
{ "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" }
null
val input_stream_include : _: HashingOptions.input_stream_binding_t -> Prims.string
[]
HashingOptions.input_stream_include
{ "file_name": "src/3d/HashingOptions.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
_: HashingOptions.input_stream_binding_t -> Prims.string
{ "end_col": 28, "end_line": 37, "start_col": 27, "start_line": 34 }
Prims.GTot
val feval (#w: lanes) (h: mem) (f: felem w) : GTot (LSeq.lseq Vec.pfelem w)
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f)
val feval (#w: lanes) (h: mem) (f: felem w) : GTot (LSeq.lseq Vec.pfelem w) let feval (#w: lanes) (h: mem) (f: felem w) : GTot (LSeq.lseq Vec.pfelem w) =
false
null
false
feval5 (as_tup5 h f)
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "sometrivial" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "FStar.Monotonic.HyperStack.mem", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Spec.Poly1305.Field32xN.feval5", "Hacl.Impl.Poly1305.Field32xN.as_tup5", "Lib.Sequence.lseq", "Hacl.Spec.Poly1305.Vec.pfelem" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val feval (#w: lanes) (h: mem) (f: felem w) : GTot (LSeq.lseq Vec.pfelem w)
[]
Hacl.Impl.Poly1305.Field32xN.feval
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
h: FStar.Monotonic.HyperStack.mem -> f: Hacl.Impl.Poly1305.Field32xN.felem w -> Prims.GTot (Lib.Sequence.lseq Hacl.Spec.Poly1305.Vec.pfelem w)
{ "end_col": 22, "end_line": 56, "start_col": 2, "start_line": 56 }
Prims.Tot
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let op_String_Access #a #len = LSeq.index #a #len
let op_String_Access #a #len =
false
null
false
LSeq.index #a #len
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "total" ]
[ "Lib.IntTypes.size_nat", "Lib.Sequence.index", "Lib.Sequence.lseq", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Prims.op_Subtraction", "Prims.pow2", "Prims.op_LessThan", "Prims.eq2", "FStar.Seq.Base.index", "Lib.Sequence.to_seq" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val op_String_Access : s: Lib.Sequence.lseq a len -> i: (n: Prims.nat{n <= Prims.pow2 32 - 1}){i < len} -> r: a{r == FStar.Seq.Base.index (Lib.Sequence.to_seq s) i}
[]
Hacl.Impl.Poly1305.Field32xN.op_String_Access
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
s: Lib.Sequence.lseq a len -> i: (n: Prims.nat{n <= Prims.pow2 32 - 1}){i < len} -> r: a{r == FStar.Seq.Base.index (Lib.Sequence.to_seq s) i}
{ "end_col": 49, "end_line": 31, "start_col": 31, "start_line": 31 }
Prims.Tot
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let felem_wide (w:lanes) = felem w
let felem_wide (w: lanes) =
false
null
false
felem w
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "total" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul
false
true
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val felem_wide : w: Hacl.Spec.Poly1305.Field32xN.lanes -> Type0
[]
Hacl.Impl.Poly1305.Field32xN.felem_wide
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
w: Hacl.Spec.Poly1305.Field32xN.lanes -> Type0
{ "end_col": 34, "end_line": 26, "start_col": 27, "start_line": 26 }
Prims.Tot
val felem_less (#w: lanes) (h: mem) (f: felem w) (max: nat) : Type0
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max
val felem_less (#w: lanes) (h: mem) (f: felem w) (max: nat) : Type0 let felem_less (#w: lanes) (h: mem) (f: felem w) (max: nat) : Type0 =
false
null
false
felem_less5 (as_tup5 h f) max
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "total" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "FStar.Monotonic.HyperStack.mem", "Hacl.Impl.Poly1305.Field32xN.felem", "Prims.nat", "Hacl.Spec.Poly1305.Field32xN.felem_less5", "Hacl.Impl.Poly1305.Field32xN.as_tup5" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val felem_less (#w: lanes) (h: mem) (f: felem w) (max: nat) : Type0
[]
Hacl.Impl.Poly1305.Field32xN.felem_less
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
h: FStar.Monotonic.HyperStack.mem -> f: Hacl.Impl.Poly1305.Field32xN.felem w -> max: Prims.nat -> Type0
{ "end_col": 31, "end_line": 64, "start_col": 2, "start_line": 64 }
Prims.Tot
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul
let precomp_r (w: lanes) =
false
null
false
lbuffer (uint64xN w) 20ul
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "total" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Lib.Buffer.lbuffer", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.__uint_to_t" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w
false
true
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val precomp_r : w: Hacl.Spec.Poly1305.Field32xN.lanes -> Type0
[]
Hacl.Impl.Poly1305.Field32xN.precomp_r
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
w: Hacl.Spec.Poly1305.Field32xN.lanes -> Type0
{ "end_col": 51, "end_line": 28, "start_col": 26, "start_line": 28 }
Prims.Tot
val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m
val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m =
false
null
false
felem_fits5 (as_tup5 h f) m
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "total" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "FStar.Monotonic.HyperStack.mem", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Spec.Poly1305.Field32xN.scale32_5", "Hacl.Spec.Poly1305.Field32xN.felem_fits5", "Hacl.Impl.Poly1305.Field32xN.as_tup5" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0
[]
Hacl.Impl.Poly1305.Field32xN.felem_fits
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
h: FStar.Monotonic.HyperStack.mem -> f: Hacl.Impl.Poly1305.Field32xN.felem w -> m: Hacl.Spec.Poly1305.Field32xN.scale32_5 -> Type0
{ "end_col": 29, "end_line": 47, "start_col": 2, "start_line": 47 }
Prims.Tot
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let felem (w:lanes) = lbuffer (uint64xN w) 5ul
let felem (w: lanes) =
false
null
false
lbuffer (uint64xN w) 5ul
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "total" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Lib.Buffer.lbuffer", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.__uint_to_t" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'"
false
true
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val felem : w: Hacl.Spec.Poly1305.Field32xN.lanes -> Type0
[]
Hacl.Impl.Poly1305.Field32xN.felem
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
w: Hacl.Spec.Poly1305.Field32xN.lanes -> Type0
{ "end_col": 46, "end_line": 24, "start_col": 22, "start_line": 24 }
Prims.GTot
val fas_nat (#w: lanes) (h: mem) (f: felem w) : GTot (LSeq.lseq nat w)
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f)
val fas_nat (#w: lanes) (h: mem) (f: felem w) : GTot (LSeq.lseq nat w) let fas_nat (#w: lanes) (h: mem) (f: felem w) : GTot (LSeq.lseq nat w) =
false
null
false
fas_nat5 (as_tup5 h f)
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "sometrivial" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "FStar.Monotonic.HyperStack.mem", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Spec.Poly1305.Field32xN.fas_nat5", "Hacl.Impl.Poly1305.Field32xN.as_tup5", "Lib.Sequence.lseq", "Prims.nat" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val fas_nat (#w: lanes) (h: mem) (f: felem w) : GTot (LSeq.lseq nat w)
[]
Hacl.Impl.Poly1305.Field32xN.fas_nat
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
h: FStar.Monotonic.HyperStack.mem -> f: Hacl.Impl.Poly1305.Field32xN.felem w -> Prims.GTot (Lib.Sequence.lseq Prims.nat w)
{ "end_col": 24, "end_line": 60, "start_col": 2, "start_line": 60 }
Prims.Tot
val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m
val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m =
false
null
false
felem_wide_fits5 (as_tup5 h f) m
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "total" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "FStar.Monotonic.HyperStack.mem", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Spec.Poly1305.Field32xN.scale32_5", "Hacl.Spec.Poly1305.Field32xN.felem_wide_fits5", "Hacl.Impl.Poly1305.Field32xN.as_tup5" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0
[]
Hacl.Impl.Poly1305.Field32xN.felem_wide_fits
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
h: FStar.Monotonic.HyperStack.mem -> f: Hacl.Impl.Poly1305.Field32xN.felem w -> m: Hacl.Spec.Poly1305.Field32xN.scale32_5 -> Type0
{ "end_col": 34, "end_line": 52, "start_col": 2, "start_line": 52 }
Prims.Tot
val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r)
val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp =
false
null
false
let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r)
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "total" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "FStar.Monotonic.HyperStack.mem", "Hacl.Impl.Poly1305.Field32xN.precomp_r", "Prims.l_and", "Hacl.Impl.Poly1305.Field32xN.felem_fits", "FStar.Pervasives.Native.Mktuple5", "Prims.nat", "Prims.eq2", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Impl.Poly1305.Field32xN.as_tup5", "Hacl.Spec.Poly1305.Field32xN.precomp_r5", "Lib.Buffer.lbuffer_t", "Lib.Buffer.MUT", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.Buffer.gsub", "FStar.UInt32.__uint_to_t" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0
[]
Hacl.Impl.Poly1305.Field32xN.fmul_precomp_r_pre
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
h: FStar.Monotonic.HyperStack.mem -> precomp: Hacl.Impl.Poly1305.Field32xN.precomp_r w -> Type0
{ "end_col": 43, "end_line": 87, "start_col": 37, "start_line": 82 }
Prims.GTot
val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w)
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4)
val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f =
false
null
false
let s = as_seq h f in let s0 = s.[ 0 ] in let s1 = s.[ 1 ] in let s2 = s.[ 2 ] in let s3 = s.[ 3 ] in let s4 = s.[ 4 ] in (s0, s1, s2, s3, s4)
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "sometrivial" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "FStar.Monotonic.HyperStack.mem", "Hacl.Impl.Poly1305.Field32xN.felem", "FStar.Pervasives.Native.Mktuple5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Prims.eq2", "FStar.Seq.Base.index", "Lib.Sequence.to_seq", "Lib.IntTypes.v", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Hacl.Impl.Poly1305.Field32xN.op_String_Access", "FStar.UInt32.__uint_to_t", "Lib.Sequence.lseq", "Lib.Buffer.as_seq", "Lib.Buffer.MUT", "Hacl.Spec.Poly1305.Field32xN.felem5" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w)
[]
Hacl.Impl.Poly1305.Field32xN.as_tup5
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
h: FStar.Monotonic.HyperStack.mem -> f: Hacl.Impl.Poly1305.Field32xN.felem w -> Prims.GTot (Hacl.Spec.Poly1305.Field32xN.felem5 w)
{ "end_col": 18, "end_line": 42, "start_col": 20, "start_line": 35 }
FStar.Pervasives.Lemma
val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i]))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f)
val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f =
false
null
true
lemma_feval_is_fas_nat (as_tup5 h f)
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "lemma" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "FStar.Monotonic.HyperStack.mem", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Spec.Poly1305.Field32xN.Lemmas.lemma_feval_is_fas_nat", "Hacl.Impl.Poly1305.Field32xN.as_tup5", "Prims.unit" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i]))
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i]))
[]
Hacl.Impl.Poly1305.Field32xN.lemma_feval_is_fas_nat
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
h: FStar.Monotonic.HyperStack.mem -> f: Hacl.Impl.Poly1305.Field32xN.felem w -> FStar.Pervasives.Lemma (requires Hacl.Impl.Poly1305.Field32xN.felem_less h f (Prims.pow2 128)) (ensures forall (i: Prims.nat). i < w ==> (Hacl.Impl.Poly1305.Field32xN.feval h f).[ i ] == (Hacl.Impl.Poly1305.Field32xN.fas_nat h f).[ i ])
{ "end_col": 38, "end_line": 74, "start_col": 2, "start_line": 74 }
Prims.Tot
val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0]
val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p =
false
null
false
assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[ 0 ]
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[ "total" ]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "FStar.Monotonic.HyperStack.mem", "Hacl.Impl.Poly1305.Field32xN.precomp_r", "Prims.l_and", "Hacl.Impl.Poly1305.Field32xN.fmul_precomp_r_pre", "Hacl.Impl.Poly1305.Field32xN.felem_fits", "FStar.Pervasives.Native.Mktuple5", "Prims.nat", "Prims.eq2", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Impl.Poly1305.Field32xN.as_tup5", "Hacl.Spec.Poly1305.Field32xN.precomp_r5", "Lib.Sequence.lseq", "Hacl.Spec.Poly1305.Vec.pfelem", "Hacl.Impl.Poly1305.Field32xN.feval", "Hacl.Spec.Poly1305.Vec.compute_rw", "Hacl.Impl.Poly1305.Field32xN.op_String_Access", "Lib.Buffer.lbuffer_t", "Lib.Buffer.MUT", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.Buffer.gsub", "FStar.UInt32.__uint_to_t", "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.b2t", "Prims.op_LessThan", "Prims.pow2", "Hacl.Spec.Poly1305.Vec.prime" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0
[]
Hacl.Impl.Poly1305.Field32xN.load_precompute_r_post
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
h: FStar.Monotonic.HyperStack.mem -> p: Hacl.Impl.Poly1305.Field32xN.precomp_r w -> Type0
{ "end_col": 46, "end_line": 104, "start_col": 2, "start_line": 96 }
FStar.HyperStack.ST.StackInline
val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0)
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r
val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w =
true
null
false
let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Prims.unit", "Lib.Sequence.eq_intro", "Hacl.Spec.Poly1305.Vec.pfelem", "Hacl.Impl.Poly1305.Field32xN.feval", "Lib.Sequence.create", "Hacl.Impl.Poly1305.Field32xN.felem", "FStar.Monotonic.HyperStack.mem", "FStar.HyperStack.ST.get", "Lib.Buffer.lbuffer_t", "Lib.Buffer.MUT", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.Buffer.create", "FStar.UInt32.__uint_to_t", "Hacl.Spec.Poly1305.Field32xN.zero", "Lib.Buffer.lbuffer" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0)
[]
Hacl.Impl.Poly1305.Field32xN.create_felem
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
w: Hacl.Spec.Poly1305.Field32xN.lanes -> FStar.HyperStack.ST.StackInline (Hacl.Impl.Poly1305.Field32xN.felem w)
{ "end_col": 3, "end_line": 118, "start_col": 20, "start_line": 114 }
FStar.HyperStack.ST.Stack
val uints64_from_felem_le: #w:lanes -> f:felem w -> Stack (uint64 & uint64) (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1)) (ensures fun h0 (lo, hi) h1 -> h0 == h1 /\ v hi * pow2 64 + v lo == (fas_nat h0 f).[0] % pow2 128)
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let uints64_from_felem_le #w f = let (f0, f1, f2, f3, f4) = (f.(0ul), f.(1ul), f.(2ul), f.(3ul), f.(4ul)) in store_felem5 #w (f0, f1, f2, f3, f4)
val uints64_from_felem_le: #w:lanes -> f:felem w -> Stack (uint64 & uint64) (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1)) (ensures fun h0 (lo, hi) h1 -> h0 == h1 /\ v hi * pow2 64 + v lo == (fas_nat h0 f).[0] % pow2 128) let uints64_from_felem_le #w f =
true
null
false
let f0, f1, f2, f3, f4 = (f.(0ul), f.(1ul), f.(2ul), f.(3ul), f.(4ul)) in store_felem5 #w (f0, f1, f2, f3, f4)
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.store_felem5", "FStar.Pervasives.Native.Mktuple5", "FStar.Pervasives.Native.tuple2", "Lib.IntTypes.uint64", "FStar.Pervasives.Native.tuple5", "Lib.Buffer.op_Array_Access", "Lib.Buffer.MUT", "FStar.UInt32.__uint_to_t" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5) inline_for_extraction noextract val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i])) let load_felem #w f lo hi = let (f0, f1, f2, f3, f4) = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 #push-options "--max_fuel 2" inline_for_extraction noextract val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r1 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 1 in let r_vec1 = vec_load r1 1 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 1 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; copy_felem #_ #(1,1,1,1,1) rn r; copy_felem #_ #(5,5,5,5,5) rn_5 r5 inline_for_extraction noextract val load_precompute_r2: p:precomp_r 2 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r2 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 2 in let r_vec1 = vec_load r1 2 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 2 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; let h2 = ST.get () in fmul_r rn r r r5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h2 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r4 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 4 in let r_vec1 = vec_load r1 4 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 4 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; fmul_r rn r r r5; precompute_shift_reduce rn_5 rn; fmul_r rn rn rn rn_5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h1 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r: #w:lanes -> p:precomp_r w -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post #w h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create w (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r #w p r0 r1 = match w with | 1 -> load_precompute_r1 p r0 r1 | 2 -> load_precompute_r2 p r0 r1 | 4 -> load_precompute_r4 p r0 r1 #pop-options inline_for_extraction noextract val load_felem1_le: f:felem 1 -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem1 (as_seq h0 b)) let load_felem1_le f b = let h0 = ST.get () in let lo = vec_load_le U64 1 (sub b 0ul 8ul) in let hi = vec_load_le U64 1 (sub b 8ul 8ul) in load_felem f lo hi; let h1 = ST.get () in uints_from_bytes_le_lemma64_1 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem1 (as_seq h0 b)) inline_for_extraction noextract val load_felem2_le: f:felem 2 -> b:lbuffer uint8 32ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem2 (as_seq h0 b)) let load_felem2_le f b = let h0 = ST.get () in let b1 = vec_load_le U64 2 (sub b 0ul 16ul) in let b2 = vec_load_le U64 2 (sub b 16ul 16ul) in let lo = vec_interleave_low b1 b2 in let hi = vec_interleave_high b1 b2 in load_felem f lo hi; let h1 = ST.get () in vec_interleave_low_lemma2 b1 b2; vec_interleave_high_lemma2 b1 b2; uints_from_bytes_le_lemma64_2 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem2 (as_seq h0 b)) inline_for_extraction noextract val load_felem4_le: f:felem 4 -> b:lbuffer uint8 64ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem4 (as_seq h0 b)) let load_felem4_le f b = let h0 = ST.get () in let lo = vec_load_le U64 4 (sub b 0ul 32ul) in let hi = vec_load_le U64 4 (sub b 32ul 32ul) in let (o0, o1, o2, o3, o4) = load_felem5_4 lo hi in load_felem5_le (as_seq h0 b); f.(0ul) <- o0; f.(1ul) <- o1; f.(2ul) <- o2; f.(3ul) <- o3; f.(4ul) <- o4 inline_for_extraction noextract val load_felems_le: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem (as_seq h0 b)) let load_felems_le #w f b = match w with | 1 -> load_felem1_le f b | 2 -> load_felem2_le f b | 4 -> load_felem4_le f b inline_for_extraction noextract val load_blocks: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h b /\ live h f /\ disjoint b f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == Vec.load_blocks #w (as_seq h0 b)) let load_blocks #s f b = load_felems_le f b; set_bit128 f inline_for_extraction noextract val load_felem_le: #w:lanes -> f:felem w -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.create w (BSeq.nat_from_bytes_le (as_seq h0 b))) let load_felem_le #w f b = let lo = uint_from_bytes_le #U64 (sub b 0ul 8ul) in let hi = uint_from_bytes_le #U64 (sub b 8ul 8ul) in let f0 = vec_load lo w in let f1 = vec_load hi w in let h0 = ST.get () in load_felem f f0 f1; let h1 = ST.get () in uint_from_bytes_le_lemma (as_seq h0 b); LSeq.eq_intro (feval h1 f) (LSeq.create w (BSeq.nat_from_bytes_le (as_seq h0 b))) inline_for_extraction noextract val uints64_from_felem_le: #w:lanes -> f:felem w -> Stack (uint64 & uint64) (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1)) (ensures fun h0 (lo, hi) h1 -> h0 == h1 /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val uints64_from_felem_le: #w:lanes -> f:felem w -> Stack (uint64 & uint64) (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1)) (ensures fun h0 (lo, hi) h1 -> h0 == h1 /\ v hi * pow2 64 + v lo == (fas_nat h0 f).[0] % pow2 128)
[]
Hacl.Impl.Poly1305.Field32xN.uints64_from_felem_le
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem w -> FStar.HyperStack.ST.Stack (Lib.IntTypes.uint64 * Lib.IntTypes.uint64)
{ "end_col": 38, "end_line": 712, "start_col": 32, "start_line": 710 }
FStar.HyperStack.ST.Stack
val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2)
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul)
val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 =
true
null
false
f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul)
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.scale32_5", "Hacl.Impl.Poly1305.Field32xN.felem", "Lib.Buffer.op_Array_Assignment", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.__uint_to_t", "Prims.unit", "Lib.Buffer.op_Array_Access", "Lib.Buffer.MUT" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2)
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2)
[]
Hacl.Impl.Poly1305.Field32xN.copy_felem
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f1: Hacl.Impl.Poly1305.Field32xN.felem w -> f2: Hacl.Impl.Poly1305.Field32xN.felem w -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 22, "end_line": 206, "start_col": 2, "start_line": 202 }
FStar.HyperStack.ST.Stack
val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul)))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5
val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p =
true
null
false
let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Impl.Poly1305.Field32xN.precomp_r", "Hacl.Impl.Poly1305.Field32xN.fmul_r", "Prims.unit", "Lib.Buffer.lbuffer_t", "Lib.Buffer.MUT", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.Buffer.sub", "FStar.UInt32.__uint_to_t" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul)))
[]
Hacl.Impl.Poly1305.Field32xN.fmul_rn
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
out: Hacl.Impl.Poly1305.Field32xN.felem w -> f1: Hacl.Impl.Poly1305.Field32xN.felem w -> p: Hacl.Impl.Poly1305.Field32xN.precomp_r w -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 25, "end_line": 369, "start_col": 25, "start_line": 366 }
FStar.HyperStack.ST.Stack
val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5)
val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 =
true
null
false
let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5)
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Lib.Buffer.op_Array_Assignment", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.__uint_to_t", "Lib.IntVector.vec_smul_mod", "Lib.IntTypes.U64", "Lib.IntTypes.u64", "Prims.unit", "Lib.Buffer.op_Array_Access", "Lib.Buffer.MUT" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2))
[]
Hacl.Impl.Poly1305.Field32xN.precompute_shift_reduce
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f1: Hacl.Impl.Poly1305.Field32xN.felem w -> f2: Hacl.Impl.Poly1305.Field32xN.felem w -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 38, "end_line": 416, "start_col": 38, "start_line": 406 }
FStar.HyperStack.ST.Stack
val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0])
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4
val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f =
true
null
false
let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let f0, f1, f2, f3, f4 = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Lib.Buffer.op_Array_Assignment", "FStar.UInt32.__uint_to_t", "Prims.unit", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.reduce_felem5", "FStar.Pervasives.Native.Mktuple5", "Lib.Buffer.op_Array_Access", "Lib.Buffer.MUT" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0])
[]
Hacl.Impl.Poly1305.Field32xN.reduce_felem
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem w -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 15, "end_line": 394, "start_col": 23, "start_line": 382 }
FStar.HyperStack.ST.Stack
val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4
val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 =
true
null
false
let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let o0, o1, o2, o3, o4 = fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Lib.Buffer.op_Array_Assignment", "FStar.UInt32.__uint_to_t", "Prims.unit", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.fadd5", "FStar.Pervasives.Native.Mktuple5", "Lib.Buffer.op_Array_Access", "Lib.Buffer.MUT" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2))
[]
Hacl.Impl.Poly1305.Field32xN.fadd
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
out: Hacl.Impl.Poly1305.Field32xN.felem w -> f1: Hacl.Impl.Poly1305.Field32xN.felem w -> f2: Hacl.Impl.Poly1305.Field32xN.felem w -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 17, "end_line": 241, "start_col": 23, "start_line": 224 }
FStar.HyperStack.ST.Stack
val load_blocks: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h b /\ live h f /\ disjoint b f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == Vec.load_blocks #w (as_seq h0 b))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let load_blocks #s f b = load_felems_le f b; set_bit128 f
val load_blocks: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h b /\ live h f /\ disjoint b f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == Vec.load_blocks #w (as_seq h0 b)) let load_blocks #s f b =
true
null
false
load_felems_le f b; set_bit128 f
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Lib.Buffer.lbuffer", "Lib.IntTypes.uint8", "Lib.IntTypes.op_Star_Bang", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Lib.IntTypes.size", "FStar.UInt32.__uint_to_t", "Hacl.Impl.Poly1305.Field32xN.set_bit128", "Prims.unit", "Hacl.Impl.Poly1305.Field32xN.load_felems_le" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5) inline_for_extraction noextract val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i])) let load_felem #w f lo hi = let (f0, f1, f2, f3, f4) = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 #push-options "--max_fuel 2" inline_for_extraction noextract val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r1 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 1 in let r_vec1 = vec_load r1 1 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 1 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; copy_felem #_ #(1,1,1,1,1) rn r; copy_felem #_ #(5,5,5,5,5) rn_5 r5 inline_for_extraction noextract val load_precompute_r2: p:precomp_r 2 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r2 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 2 in let r_vec1 = vec_load r1 2 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 2 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; let h2 = ST.get () in fmul_r rn r r r5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h2 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r4 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 4 in let r_vec1 = vec_load r1 4 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 4 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; fmul_r rn r r r5; precompute_shift_reduce rn_5 rn; fmul_r rn rn rn rn_5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h1 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r: #w:lanes -> p:precomp_r w -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post #w h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create w (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r #w p r0 r1 = match w with | 1 -> load_precompute_r1 p r0 r1 | 2 -> load_precompute_r2 p r0 r1 | 4 -> load_precompute_r4 p r0 r1 #pop-options inline_for_extraction noextract val load_felem1_le: f:felem 1 -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem1 (as_seq h0 b)) let load_felem1_le f b = let h0 = ST.get () in let lo = vec_load_le U64 1 (sub b 0ul 8ul) in let hi = vec_load_le U64 1 (sub b 8ul 8ul) in load_felem f lo hi; let h1 = ST.get () in uints_from_bytes_le_lemma64_1 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem1 (as_seq h0 b)) inline_for_extraction noextract val load_felem2_le: f:felem 2 -> b:lbuffer uint8 32ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem2 (as_seq h0 b)) let load_felem2_le f b = let h0 = ST.get () in let b1 = vec_load_le U64 2 (sub b 0ul 16ul) in let b2 = vec_load_le U64 2 (sub b 16ul 16ul) in let lo = vec_interleave_low b1 b2 in let hi = vec_interleave_high b1 b2 in load_felem f lo hi; let h1 = ST.get () in vec_interleave_low_lemma2 b1 b2; vec_interleave_high_lemma2 b1 b2; uints_from_bytes_le_lemma64_2 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem2 (as_seq h0 b)) inline_for_extraction noextract val load_felem4_le: f:felem 4 -> b:lbuffer uint8 64ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem4 (as_seq h0 b)) let load_felem4_le f b = let h0 = ST.get () in let lo = vec_load_le U64 4 (sub b 0ul 32ul) in let hi = vec_load_le U64 4 (sub b 32ul 32ul) in let (o0, o1, o2, o3, o4) = load_felem5_4 lo hi in load_felem5_le (as_seq h0 b); f.(0ul) <- o0; f.(1ul) <- o1; f.(2ul) <- o2; f.(3ul) <- o3; f.(4ul) <- o4 inline_for_extraction noextract val load_felems_le: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem (as_seq h0 b)) let load_felems_le #w f b = match w with | 1 -> load_felem1_le f b | 2 -> load_felem2_le f b | 4 -> load_felem4_le f b inline_for_extraction noextract val load_blocks: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h b /\ live h f /\ disjoint b f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == Vec.load_blocks #w (as_seq h0 b))
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val load_blocks: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h b /\ live h f /\ disjoint b f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == Vec.load_blocks #w (as_seq h0 b))
[]
Hacl.Impl.Poly1305.Field32xN.load_blocks
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem w -> b: Lib.Buffer.lbuffer Lib.IntTypes.uint8 (Lib.IntTypes.size w *! 16ul) -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 14, "end_line": 675, "start_col": 2, "start_line": 674 }
FStar.HyperStack.ST.Stack
val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128
val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f =
true
null
false
let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Spec.Poly1305.Field32xN.Lemmas.set_bit5_lemma", "Lib.Buffer.as_seq", "Lib.Buffer.MUT", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.__uint_to_t", "Prims.unit", "Lib.Buffer.op_Array_Assignment", "Lib.IntVector.vec_or", "Lib.IntTypes.U64", "FStar.Monotonic.HyperStack.mem", "FStar.HyperStack.ST.get", "Lib.Buffer.op_Array_Access", "Lib.IntVector.vec_t", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.create", "Lib.IntVector.vec_load", "Prims._assert", "Lib.IntTypes.range_t", "Lib.IntTypes.v", "Lib.IntTypes.op_Less_Less_Dot", "Lib.IntTypes.u64", "FStar.Pervasives.assert_norm", "Prims.b2t", "Prims.op_Equality", "Prims.int", "Prims.pow2", "Lib.IntTypes.range" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f))
[]
Hacl.Impl.Poly1305.Field32xN.set_bit128
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem w -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 34, "end_line": 166, "start_col": 21, "start_line": 158 }
FStar.HyperStack.ST.Stack
val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0)
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0)
val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f =
true
null
false
f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0)
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Lib.Sequence.eq_intro", "Hacl.Spec.Poly1305.Vec.pfelem", "Hacl.Impl.Poly1305.Field32xN.feval", "Lib.Sequence.create", "Prims.unit", "FStar.Monotonic.HyperStack.mem", "FStar.HyperStack.ST.get", "Lib.Buffer.op_Array_Assignment", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.__uint_to_t", "Hacl.Spec.Poly1305.Field32xN.zero" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0)
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0)
[]
Hacl.Impl.Poly1305.Field32xN.set_zero
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem w -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 46, "end_line": 185, "start_col": 2, "start_line": 179 }
FStar.HyperStack.ST.Stack
val load_felem4_le: f:felem 4 -> b:lbuffer uint8 64ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem4 (as_seq h0 b))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let load_felem4_le f b = let h0 = ST.get () in let lo = vec_load_le U64 4 (sub b 0ul 32ul) in let hi = vec_load_le U64 4 (sub b 32ul 32ul) in let (o0, o1, o2, o3, o4) = load_felem5_4 lo hi in load_felem5_le (as_seq h0 b); f.(0ul) <- o0; f.(1ul) <- o1; f.(2ul) <- o2; f.(3ul) <- o3; f.(4ul) <- o4
val load_felem4_le: f:felem 4 -> b:lbuffer uint8 64ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem4 (as_seq h0 b)) let load_felem4_le f b =
true
null
false
let h0 = ST.get () in let lo = vec_load_le U64 4 (sub b 0ul 32ul) in let hi = vec_load_le U64 4 (sub b 32ul 32ul) in let o0, o1, o2, o3, o4 = load_felem5_4 lo hi in load_felem5_le (as_seq h0 b); f.(0ul) <- o0; f.(1ul) <- o1; f.(2ul) <- o2; f.(3ul) <- o3; f.(4ul) <- o4
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Impl.Poly1305.Field32xN.felem", "Lib.Buffer.lbuffer", "Lib.IntTypes.uint8", "FStar.UInt32.__uint_to_t", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Lib.Buffer.op_Array_Assignment", "Prims.unit", "Hacl.Spec.Poly1305.Field32xN.Lemmas.load_felem5_le", "Lib.Buffer.as_seq", "Lib.Buffer.MUT", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.load_felem5_4", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Lib.IntVector.vec_load_le", "Lib.Buffer.lbuffer_t", "Lib.IntTypes.int_t", "Lib.IntTypes.U8", "Lib.IntTypes.SEC", "Lib.IntTypes.mul", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Lib.IntTypes.mk_int", "Lib.Buffer.sub", "FStar.Monotonic.HyperStack.mem", "FStar.HyperStack.ST.get" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5) inline_for_extraction noextract val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i])) let load_felem #w f lo hi = let (f0, f1, f2, f3, f4) = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 #push-options "--max_fuel 2" inline_for_extraction noextract val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r1 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 1 in let r_vec1 = vec_load r1 1 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 1 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; copy_felem #_ #(1,1,1,1,1) rn r; copy_felem #_ #(5,5,5,5,5) rn_5 r5 inline_for_extraction noextract val load_precompute_r2: p:precomp_r 2 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r2 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 2 in let r_vec1 = vec_load r1 2 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 2 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; let h2 = ST.get () in fmul_r rn r r r5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h2 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r4 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 4 in let r_vec1 = vec_load r1 4 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 4 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; fmul_r rn r r r5; precompute_shift_reduce rn_5 rn; fmul_r rn rn rn rn_5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h1 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r: #w:lanes -> p:precomp_r w -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post #w h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create w (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r #w p r0 r1 = match w with | 1 -> load_precompute_r1 p r0 r1 | 2 -> load_precompute_r2 p r0 r1 | 4 -> load_precompute_r4 p r0 r1 #pop-options inline_for_extraction noextract val load_felem1_le: f:felem 1 -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem1 (as_seq h0 b)) let load_felem1_le f b = let h0 = ST.get () in let lo = vec_load_le U64 1 (sub b 0ul 8ul) in let hi = vec_load_le U64 1 (sub b 8ul 8ul) in load_felem f lo hi; let h1 = ST.get () in uints_from_bytes_le_lemma64_1 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem1 (as_seq h0 b)) inline_for_extraction noextract val load_felem2_le: f:felem 2 -> b:lbuffer uint8 32ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem2 (as_seq h0 b)) let load_felem2_le f b = let h0 = ST.get () in let b1 = vec_load_le U64 2 (sub b 0ul 16ul) in let b2 = vec_load_le U64 2 (sub b 16ul 16ul) in let lo = vec_interleave_low b1 b2 in let hi = vec_interleave_high b1 b2 in load_felem f lo hi; let h1 = ST.get () in vec_interleave_low_lemma2 b1 b2; vec_interleave_high_lemma2 b1 b2; uints_from_bytes_le_lemma64_2 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem2 (as_seq h0 b)) inline_for_extraction noextract val load_felem4_le: f:felem 4 -> b:lbuffer uint8 64ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val load_felem4_le: f:felem 4 -> b:lbuffer uint8 64ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem4 (as_seq h0 b))
[]
Hacl.Impl.Poly1305.Field32xN.load_felem4_le
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem 4 -> b: Lib.Buffer.lbuffer Lib.IntTypes.uint8 64ul -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 15, "end_line": 640, "start_col": 24, "start_line": 630 }
FStar.HyperStack.ST.Stack
val load_felem1_le: f:felem 1 -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem1 (as_seq h0 b))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let load_felem1_le f b = let h0 = ST.get () in let lo = vec_load_le U64 1 (sub b 0ul 8ul) in let hi = vec_load_le U64 1 (sub b 8ul 8ul) in load_felem f lo hi; let h1 = ST.get () in uints_from_bytes_le_lemma64_1 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem1 (as_seq h0 b))
val load_felem1_le: f:felem 1 -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem1 (as_seq h0 b)) let load_felem1_le f b =
true
null
false
let h0 = ST.get () in let lo = vec_load_le U64 1 (sub b 0ul 8ul) in let hi = vec_load_le U64 1 (sub b 8ul 8ul) in load_felem f lo hi; let h1 = ST.get () in uints_from_bytes_le_lemma64_1 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem1 (as_seq h0 b))
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Impl.Poly1305.Field32xN.felem", "Lib.Buffer.lbuffer", "Lib.IntTypes.uint8", "FStar.UInt32.__uint_to_t", "Lib.Sequence.eq_intro", "Hacl.Spec.Poly1305.Vec.pfelem", "Hacl.Impl.Poly1305.Field32xN.feval", "Hacl.Spec.Poly1305.Vec.load_elem1", "Lib.Buffer.as_seq", "Lib.Buffer.MUT", "Prims.unit", "Hacl.Impl.Poly1305.Lemmas.uints_from_bytes_le_lemma64_1", "FStar.Monotonic.HyperStack.mem", "FStar.HyperStack.ST.get", "Hacl.Impl.Poly1305.Field32xN.load_felem", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Lib.IntVector.vec_load_le", "Lib.Buffer.lbuffer_t", "Lib.IntTypes.int_t", "Lib.IntTypes.U8", "Lib.IntTypes.SEC", "Lib.IntTypes.mul", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Lib.IntTypes.mk_int", "Lib.Buffer.sub" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5) inline_for_extraction noextract val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i])) let load_felem #w f lo hi = let (f0, f1, f2, f3, f4) = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 #push-options "--max_fuel 2" inline_for_extraction noextract val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r1 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 1 in let r_vec1 = vec_load r1 1 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 1 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; copy_felem #_ #(1,1,1,1,1) rn r; copy_felem #_ #(5,5,5,5,5) rn_5 r5 inline_for_extraction noextract val load_precompute_r2: p:precomp_r 2 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r2 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 2 in let r_vec1 = vec_load r1 2 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 2 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; let h2 = ST.get () in fmul_r rn r r r5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h2 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r4 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 4 in let r_vec1 = vec_load r1 4 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 4 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; fmul_r rn r r r5; precompute_shift_reduce rn_5 rn; fmul_r rn rn rn rn_5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h1 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r: #w:lanes -> p:precomp_r w -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post #w h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create w (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r #w p r0 r1 = match w with | 1 -> load_precompute_r1 p r0 r1 | 2 -> load_precompute_r2 p r0 r1 | 4 -> load_precompute_r4 p r0 r1 #pop-options inline_for_extraction noextract val load_felem1_le: f:felem 1 -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val load_felem1_le: f:felem 1 -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem1 (as_seq h0 b))
[]
Hacl.Impl.Poly1305.Field32xN.load_felem1_le
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem 1 -> b: Lib.Buffer.lbuffer Lib.IntTypes.uint8 16ul -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 59, "end_line": 593, "start_col": 24, "start_line": 585 }
FStar.HyperStack.ST.Stack
val load_felems_le: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem (as_seq h0 b))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let load_felems_le #w f b = match w with | 1 -> load_felem1_le f b | 2 -> load_felem2_le f b | 4 -> load_felem4_le f b
val load_felems_le: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem (as_seq h0 b)) let load_felems_le #w f b =
true
null
false
match w with | 1 -> load_felem1_le f b | 2 -> load_felem2_le f b | 4 -> load_felem4_le f b
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Lib.Buffer.lbuffer", "Lib.IntTypes.uint8", "Lib.IntTypes.op_Star_Bang", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Lib.IntTypes.size", "FStar.UInt32.__uint_to_t", "Hacl.Impl.Poly1305.Field32xN.load_felem1_le", "Prims.unit", "Hacl.Impl.Poly1305.Field32xN.load_felem2_le", "Hacl.Impl.Poly1305.Field32xN.load_felem4_le" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5) inline_for_extraction noextract val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i])) let load_felem #w f lo hi = let (f0, f1, f2, f3, f4) = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 #push-options "--max_fuel 2" inline_for_extraction noextract val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r1 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 1 in let r_vec1 = vec_load r1 1 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 1 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; copy_felem #_ #(1,1,1,1,1) rn r; copy_felem #_ #(5,5,5,5,5) rn_5 r5 inline_for_extraction noextract val load_precompute_r2: p:precomp_r 2 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r2 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 2 in let r_vec1 = vec_load r1 2 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 2 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; let h2 = ST.get () in fmul_r rn r r r5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h2 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r4 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 4 in let r_vec1 = vec_load r1 4 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 4 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; fmul_r rn r r r5; precompute_shift_reduce rn_5 rn; fmul_r rn rn rn rn_5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h1 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r: #w:lanes -> p:precomp_r w -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post #w h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create w (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r #w p r0 r1 = match w with | 1 -> load_precompute_r1 p r0 r1 | 2 -> load_precompute_r2 p r0 r1 | 4 -> load_precompute_r4 p r0 r1 #pop-options inline_for_extraction noextract val load_felem1_le: f:felem 1 -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem1 (as_seq h0 b)) let load_felem1_le f b = let h0 = ST.get () in let lo = vec_load_le U64 1 (sub b 0ul 8ul) in let hi = vec_load_le U64 1 (sub b 8ul 8ul) in load_felem f lo hi; let h1 = ST.get () in uints_from_bytes_le_lemma64_1 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem1 (as_seq h0 b)) inline_for_extraction noextract val load_felem2_le: f:felem 2 -> b:lbuffer uint8 32ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem2 (as_seq h0 b)) let load_felem2_le f b = let h0 = ST.get () in let b1 = vec_load_le U64 2 (sub b 0ul 16ul) in let b2 = vec_load_le U64 2 (sub b 16ul 16ul) in let lo = vec_interleave_low b1 b2 in let hi = vec_interleave_high b1 b2 in load_felem f lo hi; let h1 = ST.get () in vec_interleave_low_lemma2 b1 b2; vec_interleave_high_lemma2 b1 b2; uints_from_bytes_le_lemma64_2 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem2 (as_seq h0 b)) inline_for_extraction noextract val load_felem4_le: f:felem 4 -> b:lbuffer uint8 64ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem4 (as_seq h0 b)) let load_felem4_le f b = let h0 = ST.get () in let lo = vec_load_le U64 4 (sub b 0ul 32ul) in let hi = vec_load_le U64 4 (sub b 32ul 32ul) in let (o0, o1, o2, o3, o4) = load_felem5_4 lo hi in load_felem5_le (as_seq h0 b); f.(0ul) <- o0; f.(1ul) <- o1; f.(2ul) <- o2; f.(3ul) <- o3; f.(4ul) <- o4 inline_for_extraction noextract val load_felems_le: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem (as_seq h0 b))
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val load_felems_le: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem (as_seq h0 b))
[]
Hacl.Impl.Poly1305.Field32xN.load_felems_le
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem w -> b: Lib.Buffer.lbuffer Lib.IntTypes.uint8 (Lib.IntTypes.size w *! 16ul) -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 27, "end_line": 659, "start_col": 2, "start_line": 656 }
FStar.HyperStack.ST.Stack
val load_precompute_r: #w:lanes -> p:precomp_r w -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post #w h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create w (uint_v r1 * pow2 64 + uint_v r0)))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let load_precompute_r #w p r0 r1 = match w with | 1 -> load_precompute_r1 p r0 r1 | 2 -> load_precompute_r2 p r0 r1 | 4 -> load_precompute_r4 p r0 r1
val load_precompute_r: #w:lanes -> p:precomp_r w -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post #w h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create w (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r #w p r0 r1 =
true
null
false
match w with | 1 -> load_precompute_r1 p r0 r1 | 2 -> load_precompute_r2 p r0 r1 | 4 -> load_precompute_r4 p r0 r1
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.precomp_r", "Lib.IntTypes.uint64", "Hacl.Impl.Poly1305.Field32xN.load_precompute_r1", "Prims.unit", "Hacl.Impl.Poly1305.Field32xN.load_precompute_r2", "Hacl.Impl.Poly1305.Field32xN.load_precompute_r4" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5) inline_for_extraction noextract val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i])) let load_felem #w f lo hi = let (f0, f1, f2, f3, f4) = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 #push-options "--max_fuel 2" inline_for_extraction noextract val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r1 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 1 in let r_vec1 = vec_load r1 1 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 1 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; copy_felem #_ #(1,1,1,1,1) rn r; copy_felem #_ #(5,5,5,5,5) rn_5 r5 inline_for_extraction noextract val load_precompute_r2: p:precomp_r 2 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r2 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 2 in let r_vec1 = vec_load r1 2 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 2 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; let h2 = ST.get () in fmul_r rn r r r5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h2 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r4 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 4 in let r_vec1 = vec_load r1 4 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 4 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; fmul_r rn r r r5; precompute_shift_reduce rn_5 rn; fmul_r rn rn rn rn_5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h1 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r: #w:lanes -> p:precomp_r w -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post #w h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create w (uint_v r1 * pow2 64 + uint_v r0)))
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 2, "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" }
null
val load_precompute_r: #w:lanes -> p:precomp_r w -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post #w h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create w (uint_v r1 * pow2 64 + uint_v r0)))
[]
Hacl.Impl.Poly1305.Field32xN.load_precompute_r
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
p: Hacl.Impl.Poly1305.Field32xN.precomp_r w -> r0: Lib.IntTypes.uint64 -> r1: Lib.IntTypes.uint64 -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 35, "end_line": 570, "start_col": 2, "start_line": 567 }
FStar.HyperStack.ST.Stack
val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i]))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let load_felem #w f lo hi = let (f0, f1, f2, f3, f4) = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4
val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i])) let load_felem #w f lo hi =
true
null
false
let f0, f1, f2, f3, f4 = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Lib.Buffer.op_Array_Assignment", "FStar.UInt32.__uint_to_t", "Prims.unit", "Hacl.Spec.Poly1305.Field32xN.Lemmas.load_felem5_lemma", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.load_felem5" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5) inline_for_extraction noextract val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i]))
[]
Hacl.Impl.Poly1305.Field32xN.load_felem
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem w -> lo: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> hi: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 15, "end_line": 439, "start_col": 27, "start_line": 432 }
FStar.HyperStack.ST.Stack
val load_felem2_le: f:felem 2 -> b:lbuffer uint8 32ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem2 (as_seq h0 b))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let load_felem2_le f b = let h0 = ST.get () in let b1 = vec_load_le U64 2 (sub b 0ul 16ul) in let b2 = vec_load_le U64 2 (sub b 16ul 16ul) in let lo = vec_interleave_low b1 b2 in let hi = vec_interleave_high b1 b2 in load_felem f lo hi; let h1 = ST.get () in vec_interleave_low_lemma2 b1 b2; vec_interleave_high_lemma2 b1 b2; uints_from_bytes_le_lemma64_2 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem2 (as_seq h0 b))
val load_felem2_le: f:felem 2 -> b:lbuffer uint8 32ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem2 (as_seq h0 b)) let load_felem2_le f b =
true
null
false
let h0 = ST.get () in let b1 = vec_load_le U64 2 (sub b 0ul 16ul) in let b2 = vec_load_le U64 2 (sub b 16ul 16ul) in let lo = vec_interleave_low b1 b2 in let hi = vec_interleave_high b1 b2 in load_felem f lo hi; let h1 = ST.get () in vec_interleave_low_lemma2 b1 b2; vec_interleave_high_lemma2 b1 b2; uints_from_bytes_le_lemma64_2 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem2 (as_seq h0 b))
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Impl.Poly1305.Field32xN.felem", "Lib.Buffer.lbuffer", "Lib.IntTypes.uint8", "FStar.UInt32.__uint_to_t", "Lib.Sequence.eq_intro", "Hacl.Spec.Poly1305.Vec.pfelem", "Hacl.Impl.Poly1305.Field32xN.feval", "Hacl.Spec.Poly1305.Vec.load_elem2", "Lib.Buffer.as_seq", "Lib.Buffer.MUT", "Prims.unit", "Hacl.Impl.Poly1305.Lemmas.uints_from_bytes_le_lemma64_2", "Lib.IntVector.vec_interleave_high_lemma2", "Lib.IntTypes.U64", "Lib.IntVector.vec_interleave_low_lemma2", "FStar.Monotonic.HyperStack.mem", "FStar.HyperStack.ST.get", "Hacl.Impl.Poly1305.Field32xN.load_felem", "Lib.IntVector.vec_t", "Lib.IntVector.vec_interleave_high", "Lib.IntVector.vec_interleave_low", "Lib.IntVector.vec_load_le", "Lib.Buffer.lbuffer_t", "Lib.IntTypes.int_t", "Lib.IntTypes.U8", "Lib.IntTypes.SEC", "Lib.IntTypes.mul", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Lib.IntTypes.mk_int", "Lib.Buffer.sub" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5) inline_for_extraction noextract val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i])) let load_felem #w f lo hi = let (f0, f1, f2, f3, f4) = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 #push-options "--max_fuel 2" inline_for_extraction noextract val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r1 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 1 in let r_vec1 = vec_load r1 1 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 1 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; copy_felem #_ #(1,1,1,1,1) rn r; copy_felem #_ #(5,5,5,5,5) rn_5 r5 inline_for_extraction noextract val load_precompute_r2: p:precomp_r 2 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r2 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 2 in let r_vec1 = vec_load r1 2 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 2 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; let h2 = ST.get () in fmul_r rn r r r5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h2 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r4 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 4 in let r_vec1 = vec_load r1 4 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 4 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; fmul_r rn r r r5; precompute_shift_reduce rn_5 rn; fmul_r rn rn rn rn_5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h1 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r: #w:lanes -> p:precomp_r w -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post #w h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create w (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r #w p r0 r1 = match w with | 1 -> load_precompute_r1 p r0 r1 | 2 -> load_precompute_r2 p r0 r1 | 4 -> load_precompute_r4 p r0 r1 #pop-options inline_for_extraction noextract val load_felem1_le: f:felem 1 -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem1 (as_seq h0 b)) let load_felem1_le f b = let h0 = ST.get () in let lo = vec_load_le U64 1 (sub b 0ul 8ul) in let hi = vec_load_le U64 1 (sub b 8ul 8ul) in load_felem f lo hi; let h1 = ST.get () in uints_from_bytes_le_lemma64_1 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem1 (as_seq h0 b)) inline_for_extraction noextract val load_felem2_le: f:felem 2 -> b:lbuffer uint8 32ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val load_felem2_le: f:felem 2 -> b:lbuffer uint8 32ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem2 (as_seq h0 b))
[]
Hacl.Impl.Poly1305.Field32xN.load_felem2_le
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem 2 -> b: Lib.Buffer.lbuffer Lib.IntTypes.uint8 32ul -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 59, "end_line": 617, "start_col": 24, "start_line": 606 }
FStar.HyperStack.ST.Stack
val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f)))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i)
val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i =
true
null
false
let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i)
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Lib.IntTypes.size_t", "Prims.b2t", "Prims.op_LessThanOrEqual", "Lib.IntTypes.size_v", "Hacl.Spec.Poly1305.Field32xN.Lemmas.set_bit5_lemma", "Lib.Buffer.as_seq", "Lib.Buffer.MUT", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.__uint_to_t", "Lib.IntTypes.v", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Prims.unit", "Lib.Buffer.op_Array_Assignment", "Lib.IntTypes.op_Slash_Dot", "Lib.IntVector.vec_or", "Lib.IntTypes.U64", "FStar.Monotonic.HyperStack.mem", "FStar.HyperStack.ST.get", "Lib.Buffer.op_Array_Access", "Lib.IntVector.vec_t", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.create", "Lib.IntVector.vec_load", "Lib.IntTypes.op_Less_Less_Dot", "Lib.IntTypes.u64", "Lib.IntTypes.op_Percent_Dot" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i);
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f)))
[]
Hacl.Impl.Poly1305.Field32xN.set_bit
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem w -> i: Lib.IntTypes.size_t{Lib.IntTypes.size_v i <= 128} -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 36, "end_line": 142, "start_col": 20, "start_line": 136 }
FStar.HyperStack.ST.Stack
val load_felem_le: #w:lanes -> f:felem w -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.create w (BSeq.nat_from_bytes_le (as_seq h0 b)))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let load_felem_le #w f b = let lo = uint_from_bytes_le #U64 (sub b 0ul 8ul) in let hi = uint_from_bytes_le #U64 (sub b 8ul 8ul) in let f0 = vec_load lo w in let f1 = vec_load hi w in let h0 = ST.get () in load_felem f f0 f1; let h1 = ST.get () in uint_from_bytes_le_lemma (as_seq h0 b); LSeq.eq_intro (feval h1 f) (LSeq.create w (BSeq.nat_from_bytes_le (as_seq h0 b)))
val load_felem_le: #w:lanes -> f:felem w -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.create w (BSeq.nat_from_bytes_le (as_seq h0 b))) let load_felem_le #w f b =
true
null
false
let lo = uint_from_bytes_le #U64 (sub b 0ul 8ul) in let hi = uint_from_bytes_le #U64 (sub b 8ul 8ul) in let f0 = vec_load lo w in let f1 = vec_load hi w in let h0 = ST.get () in load_felem f f0 f1; let h1 = ST.get () in uint_from_bytes_le_lemma (as_seq h0 b); LSeq.eq_intro (feval h1 f) (LSeq.create w (BSeq.nat_from_bytes_le (as_seq h0 b)))
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Lib.Buffer.lbuffer", "Lib.IntTypes.uint8", "FStar.UInt32.__uint_to_t", "Lib.Sequence.eq_intro", "Hacl.Spec.Poly1305.Vec.pfelem", "Hacl.Impl.Poly1305.Field32xN.feval", "Lib.Sequence.create", "Lib.ByteSequence.nat_from_bytes_le", "Lib.IntTypes.SEC", "Lib.Buffer.as_seq", "Lib.Buffer.MUT", "Prims.unit", "Hacl.Impl.Poly1305.Lemmas.uint_from_bytes_le_lemma", "FStar.Monotonic.HyperStack.mem", "FStar.HyperStack.ST.get", "Hacl.Impl.Poly1305.Field32xN.load_felem", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntVector.vec_v", "Lib.IntVector.vec_load", "Lib.ByteBuffer.uint_from_bytes_le", "Lib.IntTypes.uint_t", "Lib.Buffer.lbuffer_t", "Lib.IntTypes.U8", "Lib.IntTypes.mk_int", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Lib.Buffer.sub" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5) inline_for_extraction noextract val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i])) let load_felem #w f lo hi = let (f0, f1, f2, f3, f4) = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 #push-options "--max_fuel 2" inline_for_extraction noextract val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r1 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 1 in let r_vec1 = vec_load r1 1 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 1 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; copy_felem #_ #(1,1,1,1,1) rn r; copy_felem #_ #(5,5,5,5,5) rn_5 r5 inline_for_extraction noextract val load_precompute_r2: p:precomp_r 2 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r2 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 2 in let r_vec1 = vec_load r1 2 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 2 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; let h2 = ST.get () in fmul_r rn r r r5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h2 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r4 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 4 in let r_vec1 = vec_load r1 4 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 4 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; fmul_r rn r r r5; precompute_shift_reduce rn_5 rn; fmul_r rn rn rn rn_5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h1 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r: #w:lanes -> p:precomp_r w -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post #w h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create w (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r #w p r0 r1 = match w with | 1 -> load_precompute_r1 p r0 r1 | 2 -> load_precompute_r2 p r0 r1 | 4 -> load_precompute_r4 p r0 r1 #pop-options inline_for_extraction noextract val load_felem1_le: f:felem 1 -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem1 (as_seq h0 b)) let load_felem1_le f b = let h0 = ST.get () in let lo = vec_load_le U64 1 (sub b 0ul 8ul) in let hi = vec_load_le U64 1 (sub b 8ul 8ul) in load_felem f lo hi; let h1 = ST.get () in uints_from_bytes_le_lemma64_1 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem1 (as_seq h0 b)) inline_for_extraction noextract val load_felem2_le: f:felem 2 -> b:lbuffer uint8 32ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem2 (as_seq h0 b)) let load_felem2_le f b = let h0 = ST.get () in let b1 = vec_load_le U64 2 (sub b 0ul 16ul) in let b2 = vec_load_le U64 2 (sub b 16ul 16ul) in let lo = vec_interleave_low b1 b2 in let hi = vec_interleave_high b1 b2 in load_felem f lo hi; let h1 = ST.get () in vec_interleave_low_lemma2 b1 b2; vec_interleave_high_lemma2 b1 b2; uints_from_bytes_le_lemma64_2 (as_seq h0 b); LSeq.eq_intro (feval h1 f) (Vec.load_elem2 (as_seq h0 b)) inline_for_extraction noextract val load_felem4_le: f:felem 4 -> b:lbuffer uint8 64ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem4 (as_seq h0 b)) let load_felem4_le f b = let h0 = ST.get () in let lo = vec_load_le U64 4 (sub b 0ul 32ul) in let hi = vec_load_le U64 4 (sub b 32ul 32ul) in let (o0, o1, o2, o3, o4) = load_felem5_4 lo hi in load_felem5_le (as_seq h0 b); f.(0ul) <- o0; f.(1ul) <- o1; f.(2ul) <- o2; f.(3ul) <- o3; f.(4ul) <- o4 inline_for_extraction noextract val load_felems_le: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == Vec.load_elem (as_seq h0 b)) let load_felems_le #w f b = match w with | 1 -> load_felem1_le f b | 2 -> load_felem2_le f b | 4 -> load_felem4_le f b inline_for_extraction noextract val load_blocks: #w:lanes -> f:felem w -> b:lbuffer uint8 (size w *! 16ul) -> Stack unit (requires fun h -> live h b /\ live h f /\ disjoint b f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == Vec.load_blocks #w (as_seq h0 b)) let load_blocks #s f b = load_felems_le f b; set_bit128 f inline_for_extraction noextract val load_felem_le: #w:lanes -> f:felem w -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val load_felem_le: #w:lanes -> f:felem w -> b:lbuffer uint8 16ul -> Stack unit (requires fun h -> live h f /\ live h b) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.create w (BSeq.nat_from_bytes_le (as_seq h0 b)))
[]
Hacl.Impl.Poly1305.Field32xN.load_felem_le
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Hacl.Impl.Poly1305.Field32xN.felem w -> b: Lib.Buffer.lbuffer Lib.IntTypes.uint8 16ul -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 83, "end_line": 698, "start_col": 26, "start_line": 689 }
FStar.HyperStack.ST.Stack
val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4
val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 =
true
null
false
let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let o0, o1, o2, o3, o4 = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Lib.Buffer.op_Array_Assignment", "FStar.UInt32.__uint_to_t", "Prims.unit", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.fmul_r5", "FStar.Pervasives.Native.Mktuple5", "Lib.Buffer.op_Array_Access", "Lib.Buffer.MUT" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 1, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": 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" }
null
val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r))
[]
Hacl.Impl.Poly1305.Field32xN.fmul_r
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
out: Hacl.Impl.Poly1305.Field32xN.felem w -> f1: Hacl.Impl.Poly1305.Field32xN.felem w -> r: Hacl.Impl.Poly1305.Field32xN.felem w -> r5: Hacl.Impl.Poly1305.Field32xN.felem w -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 17, "end_line": 290, "start_col": 27, "start_line": 264 }
FStar.HyperStack.ST.Stack
val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul)))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4
val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p =
true
null
false
let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let o0, o1, o2, o3, o4 = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Impl.Poly1305.Field32xN.felem", "Hacl.Impl.Poly1305.Field32xN.precomp_r", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Lib.Buffer.op_Array_Assignment", "FStar.UInt32.__uint_to_t", "Prims.unit", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.fadd_mul_r5", "FStar.Pervasives.Native.Mktuple5", "Lib.Buffer.op_Array_Access", "Lib.Buffer.MUT", "Lib.Buffer.lbuffer_t", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.Buffer.sub" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul)
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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" }
null
val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul)))
[]
Hacl.Impl.Poly1305.Field32xN.fadd_mul_r
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
acc: Hacl.Impl.Poly1305.Field32xN.felem w -> f1: Hacl.Impl.Poly1305.Field32xN.felem w -> p: Hacl.Impl.Poly1305.Field32xN.precomp_r w -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 17, "end_line": 345, "start_col": 28, "start_line": 311 }
FStar.HyperStack.ST.Stack
val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let load_precompute_r4 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 4 in let r_vec1 = vec_load r1 4 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 4 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; fmul_r rn r r r5; precompute_shift_reduce rn_5 rn; fmul_r rn rn rn rn_5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h1 r).[0]); precompute_shift_reduce rn_5 rn
val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r4 p r0 r1 =
true
null
false
let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 4 in let r_vec1 = vec_load r1 4 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 4 (fun i -> (uint64xN_v r_vec1).[ i ] * pow2 64 + (uint64xN_v r_vec0).[ i ])) (LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; fmul_r rn r r r5; precompute_shift_reduce rn_5 rn; fmul_r rn rn rn rn_5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h1 r).[ 0 ]); precompute_shift_reduce rn_5 rn
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Impl.Poly1305.Field32xN.precomp_r", "Lib.IntTypes.uint64", "Hacl.Impl.Poly1305.Field32xN.precompute_shift_reduce", "Prims.unit", "Lib.Sequence.eq_intro", "Hacl.Spec.Poly1305.Vec.pfelem", "Hacl.Impl.Poly1305.Field32xN.feval", "Hacl.Spec.Poly1305.Vec.compute_rw", "Hacl.Impl.Poly1305.Field32xN.op_String_Access", "FStar.Monotonic.HyperStack.mem", "FStar.HyperStack.ST.get", "Hacl.Impl.Poly1305.Field32xN.fmul_r", "Prims._assert", "Prims.eq2", "Lib.Sequence.lseq", "Lib.Sequence.create", "Prims.op_Addition", "FStar.Mul.op_Star", "Lib.IntTypes.uint_v", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "Prims.pow2", "Lib.Sequence.createi", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "Hacl.Spec.Poly1305.Field32xN.uint64xN_v", "Hacl.Impl.Poly1305.Field32xN.load_felem", "Lib.IntVector.vec_t", "Lib.IntTypes.int_t", "Lib.IntVector.vec_v", "Lib.IntVector.vec_load", "Lib.Buffer.lbuffer_t", "Lib.Buffer.MUT", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.Buffer.sub", "FStar.UInt32.__uint_to_t" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5) inline_for_extraction noextract val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i])) let load_felem #w f lo hi = let (f0, f1, f2, f3, f4) = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 #push-options "--max_fuel 2" inline_for_extraction noextract val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r1 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 1 in let r_vec1 = vec_load r1 1 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 1 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; copy_felem #_ #(1,1,1,1,1) rn r; copy_felem #_ #(5,5,5,5,5) rn_5 r5 inline_for_extraction noextract val load_precompute_r2: p:precomp_r 2 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r2 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 2 in let r_vec1 = vec_load r1 2 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 2 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 2 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; let h2 = ST.get () in fmul_r rn r r r5; let h3 = ST.get () in LSeq.eq_intro (feval h3 rn) (Vec.compute_rw (feval h2 r).[0]); precompute_shift_reduce rn_5 rn inline_for_extraction noextract val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) ==
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 2, "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" }
null
val load_precompute_r4: p:precomp_r 4 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 4 (uint_v r1 * pow2 64 + uint_v r0)))
[]
Hacl.Impl.Poly1305.Field32xN.load_precompute_r4
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
p: Hacl.Impl.Poly1305.Field32xN.precomp_r 4 -> r0: Lib.IntTypes.uint64 -> r1: Lib.IntTypes.uint64 -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 33, "end_line": 550, "start_col": 32, "start_line": 527 }
FStar.HyperStack.ST.Stack
val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)))
[ { "abbrev": true, "full_module": "Lib.ByteSequence", "short_module": "BSeq" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": "Vec" }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Field32xN", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.All", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 } ]
false
let load_precompute_r1 p r0 r1 = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 1 in let r_vec1 = vec_load r1 1 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 1 (fun i -> (uint64xN_v r_vec1).[i] * pow2 64 + (uint64xN_v r_vec0).[i])) (LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; copy_felem #_ #(1,1,1,1,1) rn r; copy_felem #_ #(5,5,5,5,5) rn_5 r5
val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0))) let load_precompute_r1 p r0 r1 =
true
null
false
let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let rn = sub p 10ul 5ul in let rn_5 = sub p 15ul 5ul in let r_vec0 = vec_load r0 1 in let r_vec1 = vec_load r1 1 in let h0 = ST.get () in load_felem r r_vec0 r_vec1; let h1 = ST.get () in LSeq.eq_intro (LSeq.createi #Vec.pfelem 1 (fun i -> (uint64xN_v r_vec1).[ i ] * pow2 64 + (uint64xN_v r_vec0).[ i ])) (LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); assert (feval h1 r == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)); precompute_shift_reduce r5 r; copy_felem #_ #(1, 1, 1, 1, 1) rn r; copy_felem #_ #(5, 5, 5, 5, 5) rn_5 r5
{ "checked_file": "Hacl.Impl.Poly1305.Field32xN.fst.checked", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Field32xN.Lemmas.fst.checked", "Hacl.Spec.Poly1305.Field32xN.fst.checked", "Hacl.Impl.Poly1305.Lemmas.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.All.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Poly1305.Field32xN.fst" }
[]
[ "Hacl.Impl.Poly1305.Field32xN.precomp_r", "Lib.IntTypes.uint64", "Hacl.Impl.Poly1305.Field32xN.copy_felem", "FStar.Pervasives.Native.Mktuple5", "Prims.nat", "Prims.unit", "Hacl.Impl.Poly1305.Field32xN.precompute_shift_reduce", "Prims._assert", "Prims.eq2", "Lib.Sequence.lseq", "Hacl.Spec.Poly1305.Vec.pfelem", "Hacl.Impl.Poly1305.Field32xN.feval", "Lib.Sequence.create", "Prims.op_Addition", "FStar.Mul.op_Star", "Lib.IntTypes.uint_v", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "Prims.pow2", "Lib.Sequence.eq_intro", "Lib.Sequence.createi", "Prims.b2t", "Prims.op_LessThan", "Hacl.Impl.Poly1305.Field32xN.op_String_Access", "Hacl.Spec.Poly1305.Field32xN.uint64xN_v", "FStar.Monotonic.HyperStack.mem", "FStar.HyperStack.ST.get", "Hacl.Impl.Poly1305.Field32xN.load_felem", "Lib.IntVector.vec_t", "Lib.IntTypes.int_t", "Lib.IntVector.vec_v", "Lib.IntVector.vec_load", "Lib.Buffer.lbuffer_t", "Lib.Buffer.MUT", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.Buffer.sub", "FStar.UInt32.__uint_to_t" ]
[]
module Hacl.Impl.Poly1305.Field32xN open FStar.HyperStack open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Lib.IntVector include Hacl.Spec.Poly1305.Field32xN open Hacl.Spec.Poly1305.Field32xN.Lemmas open Hacl.Impl.Poly1305.Lemmas module Vec = Hacl.Spec.Poly1305.Vec module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BSeq = Lib.ByteSequence #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 50 --using_facts_from '* -FStar.Seq'" inline_for_extraction noextract let felem (w:lanes) = lbuffer (uint64xN w) 5ul inline_for_extraction noextract let felem_wide (w:lanes) = felem w inline_for_extraction noextract let precomp_r (w:lanes) = lbuffer (uint64xN w) 20ul unfold noextract let op_String_Access #a #len = LSeq.index #a #len noextract val as_tup5: #w:lanes -> h:mem -> f:felem w -> GTot (felem5 w) let as_tup5 #w h f = let s = as_seq h f in let s0 = s.[0] in let s1 = s.[1] in let s2 = s.[2] in let s3 = s.[3] in let s4 = s.[4] in (s0,s1,s2,s3,s4) noextract val felem_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_fits #w h f m = felem_fits5 (as_tup5 h f) m noextract val felem_wide_fits: #w:lanes -> h:mem -> f:felem w -> m:scale32_5 -> Type0 let felem_wide_fits #w h f m = felem_wide_fits5 (as_tup5 h f) m noextract let feval (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq Vec.pfelem w) = feval5 (as_tup5 h f) noextract let fas_nat (#w:lanes) (h:mem) (f:felem w) : GTot (LSeq.lseq nat w) = fas_nat5 (as_tup5 h f) noextract let felem_less (#w:lanes) (h:mem) (f:felem w) (max:nat) : Type0 = felem_less5 (as_tup5 h f) max val lemma_feval_is_fas_nat: #w:lanes -> h:mem -> f:felem w -> Lemma (requires felem_less h f (pow2 128)) (ensures (forall (i:nat). i < w ==> (feval h f).[i] == (fas_nat h f).[i])) let lemma_feval_is_fas_nat #w h f = lemma_feval_is_fas_nat (as_tup5 h f) inline_for_extraction noextract val fmul_precomp_r_pre: #w:lanes -> h:mem -> precomp:precomp_r w -> Type0 let fmul_precomp_r_pre #w h precomp = let r = gsub precomp 0ul 5ul in let r_5 = gsub precomp 5ul 5ul in felem_fits h r (1, 1, 1, 1, 1) /\ felem_fits h r_5 (5, 5, 5, 5, 5) /\ as_tup5 h r_5 == precomp_r5 (as_tup5 h r) noextract val load_precompute_r_post: #w:lanes -> h:mem -> p:precomp_r w -> Type0 let load_precompute_r_post #w h p = assert_norm (pow2 128 < Vec.prime); let r = gsub p 0ul 5ul in let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in fmul_precomp_r_pre h p /\ felem_fits h rn (2, 2, 2, 2, 2) /\ felem_fits h rn_5 (10, 10, 10, 10, 10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn) /\ feval h rn == Vec.compute_rw (feval h r).[0] inline_for_extraction noextract val create_felem: w:lanes -> StackInline (felem w) (requires fun h -> True) (ensures fun h0 b h1 -> stack_allocated b h0 h1 (LSeq.create 5 (zero w)) /\ feval h1 b == LSeq.create w 0) let create_felem w = let r = create 5ul (zero w) in let h1 = ST.get () in LSeq.eq_intro (feval h1 r) (LSeq.create w 0); r #push-options "--z3rlimit 100" inline_for_extraction noextract val set_bit: #w:lanes -> f:felem w -> i:size_t{size_v i <= 128} -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 (v i))) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (Math.Lemmas.pow2_le_compat 128 (v i); feval h1 f == LSeq.map (Vec.pfadd (pow2 (v i))) (feval h0 f))) let set_bit #w f i = let b = u64 1 <<. (i %. 26ul) in let mask = vec_load b w in let fi = f.(i /. 26ul) in let h0 = ST.get () in f.(i /. 26ul) <- vec_or fi mask; set_bit5_lemma (as_seq h0 f) (v i) #pop-options inline_for_extraction noextract val set_bit128: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (1, 1, 1, 1, 1) /\ felem_less #w h f (pow2 128)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ feval h1 f == LSeq.map (Vec.pfadd (pow2 128)) (feval h0 f)) let set_bit128 #w f = let b = u64 0x1000000 in assert_norm (0x1000000 = pow2 24); assert (v b == v (u64 1 <<. 24ul)); let mask = vec_load b w in let f4 = f.(4ul) in let h0 = ST.get () in f.(4ul) <- vec_or f4 mask; set_bit5_lemma (as_seq h0 f) 128 inline_for_extraction noextract val set_zero: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (0, 0, 0, 0, 0) /\ feval h1 f == LSeq.create w 0) let set_zero #w f = f.(0ul) <- zero w; f.(1ul) <- zero w; f.(2ul) <- zero w; f.(3ul) <- zero w; f.(4ul) <- zero w; let h1 = ST.get () in LSeq.eq_intro (feval h1 f) (LSeq.create w 0) inline_for_extraction noextract val copy_felem: #w:lanes -> #m:scale32_5 -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ disjoint f1 f2 /\ felem_fits h f2 m) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ felem_fits h1 f1 m /\ as_tup5 h1 f1 == as_tup5 h0 f2) let copy_felem #w #m f1 f2 = f1.(0ul) <- f2.(0ul); f1.(1ul) <- f2.(1ul); f1.(2ul) <- f2.(2ul); f1.(3ul) <- f2.(3ul); f1.(4ul) <- f2.(4ul) inline_for_extraction noextract val fadd: #w:lanes -> out:felem w -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2 /\ live h out /\ felem_fits h f1 (2,2,2,2,2) /\ felem_fits h f2 (1,1,1,1,1)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ //as_tup5 h1 out == fadd5 (as_tup5 h0 f1) (as_tup5 h0 f2) /\ felem_fits h1 out (3,3,3,3,3) /\ feval h1 out == LSeq.map2 Vec.pfadd (feval h0 f1) (feval h0 f2)) let fadd #w out f1 f2 = let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in let (o0,o1,o2,o3,o4) = fadd5 #w (f10,f11,f12,f13,f14) (f20,f21,f22,f23,f24) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #push-options "--max_fuel 1" inline_for_extraction noextract val fmul_r: #w:lanes -> out:felem w -> f1:felem w -> r:felem w -> r5:felem w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h r /\ live h r5 /\ felem_fits h f1 (3,3,3,3,3) /\ felem_fits h r (2,2,2,2,2) /\ felem_fits h r5 (10,10,10,10,10) /\ as_tup5 h r5 == precomp_r5 (as_tup5 h r)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 (Vec.pfmul) (feval h0 f1) (feval h0 r)) let fmul_r #w out f1 r r5 = let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let (o0, o1, o2, o3, o4) = fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 #pop-options inline_for_extraction noextract val fadd_mul_r: #w:lanes -> acc:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h acc /\ live h f1 /\ live h p /\ felem_fits h acc (2,2,2,2,2) /\ felem_fits h f1 (1,1,1,1,1) /\ fmul_precomp_r_pre h p) (ensures fun h0 _ h1 -> modifies (loc acc) h0 h1 /\ felem_fits h1 acc (1,2,1,1,2) /\ feval h1 acc == LSeq.map2 (Vec.pfmul) (LSeq.map2 (Vec.pfadd) (feval h0 acc) (feval h0 f1)) (feval h0 (gsub p 0ul 5ul))) let fadd_mul_r #w out f1 p = let r = sub p 0ul 5ul in let r5 = sub p 5ul 5ul in let r0 = r.(0ul) in let r1 = r.(1ul) in let r2 = r.(2ul) in let r3 = r.(3ul) in let r4 = r.(4ul) in let r50 = r5.(0ul) in let r51 = r5.(1ul) in let r52 = r5.(2ul) in let r53 = r5.(3ul) in let r54 = r5.(4ul) in let f10 = f1.(0ul) in let f11 = f1.(1ul) in let f12 = f1.(2ul) in let f13 = f1.(3ul) in let f14 = f1.(4ul) in let a0 = out.(0ul) in let a1 = out.(1ul) in let a2 = out.(2ul) in let a3 = out.(3ul) in let a4 = out.(4ul) in let (o0, o1, o2, o3, o4) = fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in out.(0ul) <- o0; out.(1ul) <- o1; out.(2ul) <- o2; out.(3ul) <- o3; out.(4ul) <- o4 inline_for_extraction noextract val fmul_rn: #w:lanes -> out:felem w -> f1:felem w -> p:precomp_r w -> Stack unit (requires fun h -> live h out /\ live h f1 /\ live h p /\ (let rn = gsub p 10ul 5ul in let rn_5 = gsub p 15ul 5ul in felem_fits h f1 (3,3,3,3,3) /\ felem_fits h rn (2,2,2,2,2) /\ felem_fits h rn_5 (10,10,10,10,10) /\ as_tup5 h rn_5 == precomp_r5 (as_tup5 h rn))) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ felem_fits h1 out (1,2,1,1,2) /\ feval h1 out == LSeq.map2 Vec.pfmul (feval h0 f1) (feval h0 (gsub p 10ul 5ul))) let fmul_rn #w out f1 p = let rn = sub p 10ul 5ul in let rn5 = sub p 15ul 5ul in fmul_r #w out f1 rn rn5 inline_for_extraction noextract val reduce_felem: #w:lanes -> f:felem w -> Stack unit (requires fun h -> live h f /\ felem_fits h f (2,2,2,2,2)) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ (fas_nat h1 f).[0] == (feval h0 f).[0]) let reduce_felem #w f = let f0 = f.(0ul) in let f1 = f.(1ul) in let f2 = f.(2ul) in let f3 = f.(3ul) in let f4 = f.(4ul) in let (f0, f1, f2, f3, f4) = reduce_felem5 (f0, f1, f2, f3, f4) in f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 inline_for_extraction noextract val precompute_shift_reduce: #w:lanes -> f1:felem w -> f2:felem w -> Stack unit (requires fun h -> live h f1 /\ live h f2) (ensures fun h0 _ h1 -> modifies (loc f1) h0 h1 /\ as_tup5 h1 f1 == precomp_r5 (as_tup5 h0 f2)) let precompute_shift_reduce #w f1 f2 = let f20 = f2.(0ul) in let f21 = f2.(1ul) in let f22 = f2.(2ul) in let f23 = f2.(3ul) in let f24 = f2.(4ul) in f1.(0ul) <- vec_smul_mod f20 (u64 5); f1.(1ul) <- vec_smul_mod f21 (u64 5); f1.(2ul) <- vec_smul_mod f22 (u64 5); f1.(3ul) <- vec_smul_mod f23 (u64 5); f1.(4ul) <- vec_smul_mod f24 (u64 5) inline_for_extraction noextract val load_felem: #w:lanes -> f:felem w -> lo:uint64xN w -> hi:uint64xN w -> Stack unit (requires fun h -> live h f) (ensures fun h0 _ h1 -> modifies (loc f) h0 h1 /\ felem_fits h1 f (1, 1, 1, 1, 1) /\ felem_less h1 f (pow2 128) /\ feval h1 f == LSeq.createi #Vec.pfelem w (fun i -> (uint64xN_v hi).[i] * pow2 64 + (uint64xN_v lo).[i])) let load_felem #w f lo hi = let (f0, f1, f2, f3, f4) = load_felem5 #w lo hi in load_felem5_lemma #w lo hi; f.(0ul) <- f0; f.(1ul) <- f1; f.(2ul) <- f2; f.(3ul) <- f3; f.(4ul) <- f4 #push-options "--max_fuel 2" inline_for_extraction noextract val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) ==
false
false
Hacl.Impl.Poly1305.Field32xN.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 2, "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" }
null
val load_precompute_r1: p:precomp_r 1 -> r0:uint64 -> r1:uint64 -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ load_precompute_r_post h1 p /\ (assert_norm (pow2 64 * pow2 64 = pow2 128); feval h1 (gsub p 0ul 5ul) == LSeq.create 1 (uint_v r1 * pow2 64 + uint_v r0)))
[]
Hacl.Impl.Poly1305.Field32xN.load_precompute_r1
{ "file_name": "code/poly1305/Hacl.Impl.Poly1305.Field32xN.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
p: Hacl.Impl.Poly1305.Field32xN.precomp_r 1 -> r0: Lib.IntTypes.uint64 -> r1: Lib.IntTypes.uint64 -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 36, "end_line": 475, "start_col": 32, "start_line": 456 }