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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Adcx64Wrap | val va_lemma_Adcx64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Adcx64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst
va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ adx_enabled /\ Vale.X64.Decls.valid_cf
(va_get_flags va_s0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64
(va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src)) (if Vale.X64.Decls.cf (va_get_flags
va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64
va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0)
>= pow2_64) /\ Vale.X64.Decls.maintained_of (va_get_flags va_sM) (va_get_flags va_s0) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst
va_sM va_s0))))) | val va_lemma_Adcx64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Adcx64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst
va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ adx_enabled /\ Vale.X64.Decls.valid_cf
(va_get_flags va_s0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64
(va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src)) (if Vale.X64.Decls.cf (va_get_flags
va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64
va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0)
>= pow2_64) /\ Vale.X64.Decls.maintained_of (va_get_flags va_sM) (va_get_flags va_s0) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst
va_sM va_s0))))) | let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 242,
"start_col": 0,
"start_line": 233
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_dst_opr64 ->
src: Vale.X64.Decls.va_operand_opr64
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_dst_opr64",
"Vale.X64.Decls.va_operand_opr64",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Prims._assert",
"Prims.eq2",
"Prims.int",
"Vale.Arch.Types.add_wrap64",
"Vale.X64.Decls.va_eval_dst_opr64",
"Vale.X64.Decls.va_eval_opr64",
"Vale.X64.Decls.cf",
"Vale.X64.Decls.va_get_flags",
"Prims.bool",
"Vale.Def.Words_s.nat64",
"Prims.op_Modulus",
"Prims.op_Addition",
"Vale.X64.Machine_s.pow2_64",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.opFlagsCf",
"Vale.X64.Instruction_s.op64",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Adcx64",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Adcx64Wrap"
] | [] | false | false | false | false | false | let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
| va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src))
(if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src +
(if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0))
`op_Modulus`
pow2_64);
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Sbb64 | val va_lemma_Sbb64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Sbb64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0
/\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.valid_cf (va_get_flags
va_s0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.sub_wrap64 (va_eval_dst_opr64 va_s0 dst)
(Vale.Arch.Types.add_wrap64 (va_eval_opr64 va_s0 src) (if Vale.X64.Decls.cf (va_get_flags
va_s0) then 1 else 0)) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64
va_s0 dst - (va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else
0)) < 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_dst_opr64 dst va_sM va_s0))))) | val va_lemma_Sbb64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Sbb64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0
/\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.valid_cf (va_get_flags
va_s0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.sub_wrap64 (va_eval_dst_opr64 va_s0 dst)
(Vale.Arch.Types.add_wrap64 (va_eval_opr64 va_s0 src) (if Vale.X64.Decls.cf (va_get_flags
va_s0) then 1 else 0)) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64
va_s0 dst - (va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else
0)) < 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_dst_opr64 dst va_sM va_s0))))) | let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 363,
"start_col": 0,
"start_line": 358
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_dst_opr64 ->
src: Vale.X64.Decls.va_operand_opr64
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_dst_opr64",
"Vale.X64.Decls.va_operand_opr64",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.opFlagsCf",
"Vale.X64.Instruction_s.op64",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.HavocFlags",
"Vale.X64.Instructions_s.ins_Sbb64",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Sbb64"
] | [] | false | false | false | false | false | let va_lemma_Sbb64 va_b0 va_s0 dst src =
| va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_code_LargeComment | val va_code_LargeComment : c:string -> Tot va_code | val va_code_LargeComment : c:string -> Tot va_code | let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 82,
"end_line": 1070,
"start_col": 0,
"start_line": 1069
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | c: Prims.string -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.string",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_LargeComment",
"Vale.X64.Machine_Semantics_s.AnnotateLargeComment",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_LargeComment c =
| (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Cpuid_Sha | val va_lemma_Cpuid_Sha : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Sha ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64
rRax va_s0 = 7 /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 536870912 > 0 == sha_enabled /\ va_state_eq
va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | val va_lemma_Cpuid_Sha : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Sha ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64
rRax va_s0 = 7 /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 536870912 > 0 == sha_enabled /\ va_state_eq
va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 654,
"start_col": 0,
"start_line": 648
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.cpuid_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Instruction_s.out",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Cpuid",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Cpuid_Sha"
] | [] | false | false | false | false | false | let va_lemma_Cpuid_Sha va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | false |
Hacl.Impl.FFDHE.Constants.fst | Hacl.Impl.FFDHE.Constants.ffdhe_p2048 | val ffdhe_p2048:x: glbuffer pub_uint8 256ul {witnessed x S.ffdhe_p2048 /\ recallable x} | val ffdhe_p2048:x: glbuffer pub_uint8 256ul {witnessed x S.ffdhe_p2048 /\ recallable x} | let ffdhe_p2048 :x:glbuffer pub_uint8 256ul{witnessed x S.ffdhe_p2048 /\ recallable x} =
createL_global S.list_ffdhe_p2048 | {
"file_name": "code/ffdhe/Hacl.Impl.FFDHE.Constants.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 35,
"end_line": 19,
"start_col": 0,
"start_line": 18
} | module Hacl.Impl.FFDHE.Constants
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
module ST = FStar.HyperStack.ST
module S = Spec.FFDHE
#set-options "--z3rlimit 50 --fuel 0 --ifuel 0"
let ffdhe_g2 :x:glbuffer pub_uint8 1ul{witnessed x S.ffdhe_g2 /\ recallable x} =
createL_global S.list_ffdhe_g2 | {
"checked_file": "/",
"dependencies": [
"Spec.FFDHE.fst.checked",
"prims.fst.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Buffer.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Impl.FFDHE.Constants.fst"
} | [
{
"abbrev": true,
"full_module": "Spec.FFDHE",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.FFDHE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.FFDHE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | x:
(c:
Lib.Buffer.lbuffer_t Lib.Buffer.CONST
(Lib.IntTypes.int_t Lib.IntTypes.U8 Lib.IntTypes.PUB)
(256ul <: FStar.UInt32.t) {LowStar.ConstBuffer.qual_of c == LowStar.ConstBuffer.IMMUTABLE})
{Lib.Buffer.witnessed x Spec.FFDHE.ffdhe_p2048 /\ Lib.Buffer.recallable x} | Prims.Tot | [
"total"
] | [] | [
"Lib.Buffer.createL_global",
"Lib.IntTypes.int_t",
"Lib.IntTypes.U8",
"Lib.IntTypes.PUB",
"Spec.FFDHE.list_ffdhe_p2048",
"Lib.Buffer.glbuffer",
"Lib.IntTypes.size",
"FStar.Pervasives.normalize_term",
"Lib.IntTypes.size_nat",
"FStar.List.Tot.Base.length"
] | [] | false | false | false | false | false | let ffdhe_p2048:x: glbuffer pub_uint8 256ul {witnessed x S.ffdhe_p2048 /\ recallable x} =
| createL_global S.list_ffdhe_p2048 | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Cpuid_AES | val va_lemma_Cpuid_AES : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_AES ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64
rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 33554432 > 0 == aesni_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 2 > 0 == pclmulqdq_enabled /\ va_state_eq
va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | val va_lemma_Cpuid_AES : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_AES ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64
rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 33554432 > 0 == aesni_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 2 > 0 == pclmulqdq_enabled /\ va_state_eq
va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 622,
"start_col": 0,
"start_line": 616
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.cpuid_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Instruction_s.out",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Cpuid",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Cpuid_AES"
] | [] | false | false | false | false | false | let va_lemma_Cpuid_AES va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_And64 | val va_lemma_And64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_And64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0
/\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.iand64 (va_eval_dst_opr64 va_s0 dst)
(va_eval_opr64 va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_dst_opr64 dst va_sM va_s0))))) | val va_lemma_And64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_And64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0
/\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.iand64 (va_eval_dst_opr64 va_s0 dst)
(va_eval_opr64 va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_dst_opr64 dst va_sM va_s0))))) | let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 531,
"start_col": 0,
"start_line": 526
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_dst_opr64 ->
src: Vale.X64.Decls.va_operand_opr64
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_dst_opr64",
"Vale.X64.Decls.va_operand_opr64",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.op64",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.HavocFlags",
"Vale.X64.Instructions_s.ins_And64",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_And64"
] | [] | false | false | false | false | false | let va_lemma_And64 va_b0 va_s0 dst src =
| va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_codegen_success_NoNewline | val va_codegen_success_NoNewline : va_dummy:unit -> Tot va_pbool | val va_codegen_success_NoNewline : va_dummy:unit -> Tot va_pbool | let va_codegen_success_NoNewline () =
(va_ttrue ()) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 15,
"end_line": 1105,
"start_col": 0,
"start_line": 1104
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_NoNewline () =
| (va_ttrue ()) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_code_NoNewline | val va_code_NoNewline : va_dummy:unit -> Tot va_code | val va_code_NoNewline : va_dummy:unit -> Tot va_code | let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 68,
"end_line": 1101,
"start_col": 0,
"start_line": 1100
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Space",
"Vale.X64.Machine_Semantics_s.AnnotateSpace",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_NoNewline () =
| (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Cpuid_Sse | val va_wpProof_Cpuid_Sse : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Cpuid_Sse va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Sse ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Cpuid_Sse : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Cpuid_Sse va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Sse ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 794,
"start_col": 0,
"start_line": 786
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRax",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Cpuid_Sse",
"Vale.X64.InsBasic.va_code_Cpuid_Sse"
] | [] | false | false | false | false | false | let va_wpProof_Cpuid_Sse va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_reg64 rRdx
va_sM
(va_update_reg64 rRcx
va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))
);
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Cpuid_Movbe | val va_wpProof_Cpuid_Movbe : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Cpuid_Movbe va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Movbe ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Cpuid_Movbe : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Cpuid_Movbe va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Movbe ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 826,
"start_col": 0,
"start_line": 818
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRax",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Cpuid_Movbe",
"Vale.X64.InsBasic.va_code_Cpuid_Movbe"
] | [] | false | false | false | false | false | let va_wpProof_Cpuid_Movbe va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_reg64 rRdx
va_sM
(va_update_reg64 rRcx
va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))
);
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_codegen_success_Newline | val va_codegen_success_Newline : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Newline : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Newline () =
(va_ttrue ()) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 15,
"end_line": 1135,
"start_col": 0,
"start_line": 1134
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline
[@ "opaque_to_smt"]
let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Newline () =
| (va_ttrue ()) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Shl64 | val va_lemma_Shl64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
amt:va_operand_shift_amt64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Shl64 dst amt) va_s0 /\ va_is_dst_dst_opr64 dst va_s0
/\ va_is_src_shift_amt64 amt va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ishl64 (va_eval_dst_opr64 va_s0 dst)
(va_eval_shift_amt64 va_s0 amt) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_dst_opr64 dst va_sM va_s0))))) | val va_lemma_Shl64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
amt:va_operand_shift_amt64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Shl64 dst amt) va_s0 /\ va_is_dst_dst_opr64 dst va_s0
/\ va_is_src_shift_amt64 amt va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ishl64 (va_eval_dst_opr64 va_s0 dst)
(va_eval_shift_amt64 va_s0 amt) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_dst_opr64 dst va_sM va_s0))))) | let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 561,
"start_col": 0,
"start_line": 556
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_dst_opr64 ->
amt: Vale.X64.Decls.va_operand_shift_amt64
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_dst_opr64",
"Vale.X64.Decls.va_operand_shift_amt64",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.op64",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.HavocFlags",
"Vale.X64.Instructions_s.ins_Shl64",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Shl64"
] | [] | false | false | false | false | false | let va_lemma_Shl64 va_b0 va_s0 dst amt =
| va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Mulx64 | val va_lemma_Mulx64 : va_b0:va_code -> va_s0:va_state -> dst_hi:va_operand_dst_opr64 ->
dst_lo:va_operand_dst_opr64 -> src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mulx64 dst_hi dst_lo src) va_s0 /\ va_is_dst_dst_opr64
dst_hi va_s0 /\ va_is_dst_dst_opr64 dst_lo va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok
va_s0 /\ bmi2_enabled /\ dst_hi =!= dst_lo))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_mul_nat pow2_64 (va_eval_dst_opr64 va_sM dst_hi) + va_eval_dst_opr64 va_sM dst_lo ==
va_mul_nat (va_get_reg64 rRdx va_s0) (va_eval_opr64 va_s0 src) /\ va_state_eq va_sM
(va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64
dst_hi va_sM va_s0))))) | val va_lemma_Mulx64 : va_b0:va_code -> va_s0:va_state -> dst_hi:va_operand_dst_opr64 ->
dst_lo:va_operand_dst_opr64 -> src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mulx64 dst_hi dst_lo src) va_s0 /\ va_is_dst_dst_opr64
dst_hi va_s0 /\ va_is_dst_dst_opr64 dst_lo va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok
va_s0 /\ bmi2_enabled /\ dst_hi =!= dst_lo))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_mul_nat pow2_64 (va_eval_dst_opr64 va_sM dst_hi) + va_eval_dst_opr64 va_sM dst_lo ==
va_mul_nat (va_get_reg64 rRdx va_s0) (va_eval_opr64 va_s0 src) /\ va_state_eq va_sM
(va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64
dst_hi va_sM va_s0))))) | let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 434,
"start_col": 0,
"start_line": 428
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst_hi: Vale.X64.Decls.va_operand_dst_opr64 ->
dst_lo: Vale.X64.Decls.va_operand_dst_opr64 ->
src: Vale.X64.Decls.va_operand_opr64
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_dst_opr64",
"Vale.X64.Decls.va_operand_opr64",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.InsBasic.lemma_fundamental_div_mod",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Decls.va_eval_opr64",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.op64",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Mulx64",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Mulx64"
] | [] | false | false | false | false | false | let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
| va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_codegen_success_Space | val va_codegen_success_Space : n:nat -> Tot va_pbool | val va_codegen_success_Space : n:nat -> Tot va_pbool | let va_codegen_success_Space n =
(va_ttrue ()) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 15,
"end_line": 1165,
"start_col": 0,
"start_line": 1164
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline
[@ "opaque_to_smt"]
let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ())))
[@ "opaque_to_smt"]
let va_codegen_success_Newline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Newline va_b0 va_s0 =
va_reveal_opaque (`%va_code_Newline) (va_code_Newline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline
()))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Newline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Space
[@ "opaque_to_smt"]
let va_code_Space n =
(mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | n: Prims.nat -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.nat",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Space n =
| (va_ttrue ()) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Cpuid_Adx_Bmi2 | val va_lemma_Cpuid_Adx_Bmi2 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 7 /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 256 > 0 == bmi2_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 524288 > 0 == adx_enabled /\ va_state_eq va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | val va_lemma_Cpuid_Adx_Bmi2 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 7 /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 256 > 0 == bmi2_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 524288 > 0 == adx_enabled /\ va_state_eq va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 686,
"start_col": 0,
"start_line": 680
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.cpuid_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Instruction_s.out",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Cpuid",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Cpuid_Adx_Bmi2"
] | [] | false | false | false | false | false | let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_code_Newline | val va_code_Newline : va_dummy:unit -> Tot va_code | val va_code_Newline : va_dummy:unit -> Tot va_code | let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 71,
"end_line": 1131,
"start_col": 0,
"start_line": 1130
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Newline",
"Vale.X64.Machine_Semantics_s.AnnotateNewline",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Newline () =
| (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_codegen_success_LargeComment | val va_codegen_success_LargeComment : c:string -> Tot va_pbool | val va_codegen_success_LargeComment : c:string -> Tot va_pbool | let va_codegen_success_LargeComment c =
(va_ttrue ()) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 15,
"end_line": 1074,
"start_col": 0,
"start_line": 1073
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | c: Prims.string -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.string",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_LargeComment c =
| (va_ttrue ()) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Cpuid_Rdrand | val va_wpProof_Cpuid_Rdrand : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Cpuid_Rdrand va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Rdrand ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Cpuid_Rdrand : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Cpuid_Rdrand va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Rdrand ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 858,
"start_col": 0,
"start_line": 850
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRax",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Cpuid_Rdrand",
"Vale.X64.InsBasic.va_code_Cpuid_Rdrand"
] | [] | false | false | false | false | false | let va_wpProof_Cpuid_Rdrand va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_reg64 rRdx
va_sM
(va_update_reg64 rRcx
va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))
);
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_code_Space | val va_code_Space : n:nat -> Tot va_code | val va_code_Space : n:nat -> Tot va_code | let va_code_Space n =
(mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 68,
"end_line": 1161,
"start_col": 0,
"start_line": 1160
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline
[@ "opaque_to_smt"]
let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ())))
[@ "opaque_to_smt"]
let va_codegen_success_Newline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Newline va_b0 va_s0 =
va_reveal_opaque (`%va_code_Newline) (va_code_Newline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline
()))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Newline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Space | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | n: Prims.nat -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.nat",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Space",
"Vale.X64.Machine_Semantics_s.AnnotateSpace",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Space n =
| (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Sub64Wrap | val va_lemma_Sub64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Sub64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst
va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.sub_wrap64 (va_eval_dst_opr64 va_s0 dst)
(va_eval_opr64 va_s0 src) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64
va_s0 dst - va_eval_opr64 va_s0 src < 0) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) | val va_lemma_Sub64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Sub64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst
va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.sub_wrap64 (va_eval_dst_opr64 va_s0 dst)
(va_eval_opr64 va_s0 src) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64
va_s0 dst - va_eval_opr64 va_s0 src < 0) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) | let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 333,
"start_col": 0,
"start_line": 328
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_dst_opr64 ->
src: Vale.X64.Decls.va_operand_opr64
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_dst_opr64",
"Vale.X64.Decls.va_operand_opr64",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.opFlagsCf",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.op64",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.HavocFlags",
"Vale.X64.Instructions_s.ins_Sub64",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Sub64Wrap"
] | [] | false | false | false | false | false | let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
| va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Cpuid_Avx | val va_lemma_Cpuid_Avx : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Avx ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64
rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 268435456 > 0 == avx_cpuid_enabled /\
va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx
va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | val va_lemma_Cpuid_Avx : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Avx ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64
rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 268435456 > 0 == avx_cpuid_enabled /\
va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx
va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 718,
"start_col": 0,
"start_line": 712
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.cpuid_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Instruction_s.out",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Cpuid",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Cpuid_Avx"
] | [] | false | false | false | false | false | let va_lemma_Cpuid_Avx va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Cpuid_Sse | val va_lemma_Cpuid_Sse : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Sse ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64
rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRdx va_sM) 67108864 > 0 == sse2_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 524288 > 0 == sse4_1_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 512 > 0 == ssse3_enabled /\ va_state_eq va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | val va_lemma_Cpuid_Sse : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Sse ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64
rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRdx va_sM) 67108864 > 0 == sse2_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 524288 > 0 == sse4_1_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 512 > 0 == ssse3_enabled /\ va_state_eq va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 782,
"start_col": 0,
"start_line": 776
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.cpuid_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Instruction_s.out",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Cpuid",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Cpuid_Sse"
] | [] | false | false | false | false | false | let va_lemma_Cpuid_Sse va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Cpuid_Avx2 | val va_lemma_Cpuid_Avx2 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Avx2 ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 7 /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 32 > 0 == avx2_cpuid_enabled /\ va_state_eq
va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | val va_lemma_Cpuid_Avx2 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Avx2 ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 7 /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 32 > 0 == avx2_cpuid_enabled /\ va_state_eq
va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 750,
"start_col": 0,
"start_line": 744
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.cpuid_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Instruction_s.out",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Cpuid",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Cpuid_Avx2"
] | [] | false | false | false | false | false | let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_code_Prefetchnta | val va_code_Prefetchnta : v:va_operand_opr64 -> Tot va_code | val va_code_Prefetchnta : v:va_operand_opr64 -> Tot va_code | let va_code_Prefetchnta v =
(mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v)) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 81,
"end_line": 1191,
"start_col": 0,
"start_line": 1190
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline
[@ "opaque_to_smt"]
let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ())))
[@ "opaque_to_smt"]
let va_codegen_success_Newline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Newline va_b0 va_s0 =
va_reveal_opaque (`%va_code_Newline) (va_code_Newline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline
()))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Newline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Space
[@ "opaque_to_smt"]
let va_code_Space n =
(mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n)))
[@ "opaque_to_smt"]
let va_codegen_success_Space n =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Space va_b0 va_s0 n =
va_reveal_opaque (`%va_code_Space) (va_code_Space n);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace
n))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Space n va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Space (va_code_Space n) va_s0 n in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Prefetchnta | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | v: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_opr64",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_out",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.op64",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Prefetchnta",
"Vale.X64.Machine_Semantics_s.AnnotatePrefetchnta",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Prefetchnta v =
| (mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v)) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_codegen_success_Prefetchnta | val va_codegen_success_Prefetchnta : v:va_operand_opr64 -> Tot va_pbool | val va_codegen_success_Prefetchnta : v:va_operand_opr64 -> Tot va_pbool | let va_codegen_success_Prefetchnta v =
(va_ttrue ()) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 15,
"end_line": 1195,
"start_col": 0,
"start_line": 1194
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline
[@ "opaque_to_smt"]
let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ())))
[@ "opaque_to_smt"]
let va_codegen_success_Newline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Newline va_b0 va_s0 =
va_reveal_opaque (`%va_code_Newline) (va_code_Newline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline
()))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Newline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Space
[@ "opaque_to_smt"]
let va_code_Space n =
(mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n)))
[@ "opaque_to_smt"]
let va_codegen_success_Space n =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Space va_b0 va_s0 n =
va_reveal_opaque (`%va_code_Space) (va_code_Space n);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace
n))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Space n va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Space (va_code_Space n) va_s0 n in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Prefetchnta
[@ "opaque_to_smt"]
let va_code_Prefetchnta v =
(mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v)) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | v: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_opr64",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Prefetchnta v =
| (va_ttrue ()) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Shr64 | val va_lemma_Shr64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
amt:va_operand_shift_amt64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Shr64 dst amt) va_s0 /\ va_is_dst_dst_opr64 dst va_s0
/\ va_is_src_shift_amt64 amt va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ishr64 (va_eval_dst_opr64 va_s0 dst)
(va_eval_shift_amt64 va_s0 amt) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_dst_opr64 dst va_sM va_s0))))) | val va_lemma_Shr64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
amt:va_operand_shift_amt64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Shr64 dst amt) va_s0 /\ va_is_dst_dst_opr64 dst va_s0
/\ va_is_src_shift_amt64 amt va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ishr64 (va_eval_dst_opr64 va_s0 dst)
(va_eval_shift_amt64 va_s0 amt) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_dst_opr64 dst va_sM va_s0))))) | let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 591,
"start_col": 0,
"start_line": 586
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_dst_opr64 ->
amt: Vale.X64.Decls.va_operand_shift_amt64
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_dst_opr64",
"Vale.X64.Decls.va_operand_shift_amt64",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.op64",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.HavocFlags",
"Vale.X64.Instructions_s.ins_Shr64",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Shr64"
] | [] | false | false | false | false | false | let va_lemma_Shr64 va_b0 va_s0 dst amt =
| va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Xor64 | val va_lemma_Xor64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Xor64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0
/\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ixor64 (va_eval_dst_opr64 va_s0 dst)
(va_eval_opr64 va_s0 src) /\ ~(Vale.X64.Decls.overflow (va_get_flags va_sM)) /\
~(Vale.X64.Decls.cf (va_get_flags va_sM)) /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM) /\
Vale.X64.Decls.valid_of (va_get_flags va_sM) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) | val va_lemma_Xor64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 ->
src:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Xor64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0
/\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ixor64 (va_eval_dst_opr64 va_s0 dst)
(va_eval_opr64 va_s0 src) /\ ~(Vale.X64.Decls.overflow (va_get_flags va_sM)) /\
~(Vale.X64.Decls.cf (va_get_flags va_sM)) /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM) /\
Vale.X64.Decls.valid_of (va_get_flags va_sM) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) | let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 501,
"start_col": 0,
"start_line": 495
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_dst_opr64 ->
src: Vale.X64.Decls.va_operand_opr64
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_dst_opr64",
"Vale.X64.Decls.va_operand_opr64",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.op64",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.opFlagsCf",
"Vale.X64.Instruction_s.opFlagsOf",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.HavocFlags",
"Vale.X64.Instructions_s.ins_Xor64",
"Vale.X64.Machine_Semantics_s.AnnotateXor64",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Xor64"
] | [] | false | false | false | false | false | let va_lemma_Xor64 va_b0 va_s0 dst src =
| va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0
in
(va_sM, va_fM) | false |
Hacl.Impl.RSAPSS.MGF.fst | Hacl.Impl.RSAPSS.MGF.max_input_length | val max_input_length : _: Spec.Hash.Definitions.hash_alg -> FStar.Pervasives.Native.option Prims.pos | let max_input_length = Hash.max_input_length | {
"file_name": "code/rsapss/Hacl.Impl.RSAPSS.MGF.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 44,
"end_line": 27,
"start_col": 0,
"start_line": 27
} | module Hacl.Impl.RSAPSS.MGF
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
module ST = FStar.HyperStack.ST
module S = Spec.RSAPSS
module BSeq = Lib.ByteSequence
module LSeq = Lib.Sequence
module Hash = Spec.Agile.Hash
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val hash_len: a:Hash.hash_alg{S.hash_is_supported a} -> Tot (res:size_t{v res == Hash.hash_length a})
[@CInline]
let hash_len a =
Hacl.Hash.Definitions.hash_len a | {
"checked_file": "/",
"dependencies": [
"Spec.RSAPSS.fst.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Streaming.SHA2.fst.checked",
"Hacl.Hash.Definitions.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Impl.RSAPSS.MGF.fst"
} | [
{
"abbrev": true,
"full_module": "Spec.Agile.Hash",
"short_module": "Hash"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": true,
"full_module": "Lib.ByteSequence",
"short_module": "BSeq"
},
{
"abbrev": true,
"full_module": "Spec.RSAPSS",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | _: Spec.Hash.Definitions.hash_alg -> FStar.Pervasives.Native.option Prims.pos | Prims.Tot | [
"total"
] | [] | [
"Spec.Hash.Definitions.max_input_length"
] | [] | false | false | false | true | false | let max_input_length =
| Hash.max_input_length | false |
|
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Xgetbv_Avx | val va_wpProof_Xgetbv_Avx : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Xgetbv_Avx va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Xgetbv_Avx ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Xgetbv_Avx : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Xgetbv_Avx va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Xgetbv_Avx ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 953,
"start_col": 0,
"start_line": 946
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRax",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Xgetbv_Avx",
"Vale.X64.InsBasic.va_code_Xgetbv_Avx"
] | [] | false | false | false | false | false | let va_wpProof_Xgetbv_Avx va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Cpuid_Avx512 | val va_wpProof_Cpuid_Avx512 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Cpuid_Avx512 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Avx512 ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Cpuid_Avx512 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Cpuid_Avx512 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Avx512 ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 890,
"start_col": 0,
"start_line": 882
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRax",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Cpuid_Avx512",
"Vale.X64.InsBasic.va_code_Cpuid_Avx512"
] | [] | false | false | false | false | false | let va_wpProof_Cpuid_Avx512 va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_reg64 rRdx
va_sM
(va_update_reg64 rRcx
va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))
);
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Hacl.Impl.RSAPSS.MGF.fst | Hacl.Impl.RSAPSS.MGF.less_than_max_input_length | val less_than_max_input_length : l: Prims.int -> a: Spec.Hash.Definitions.hash_alg -> Prims.bool | let less_than_max_input_length = Spec.Hash.Definitions.less_than_max_input_length | {
"file_name": "code/rsapss/Hacl.Impl.RSAPSS.MGF.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 81,
"end_line": 30,
"start_col": 0,
"start_line": 30
} | module Hacl.Impl.RSAPSS.MGF
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
module ST = FStar.HyperStack.ST
module S = Spec.RSAPSS
module BSeq = Lib.ByteSequence
module LSeq = Lib.Sequence
module Hash = Spec.Agile.Hash
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val hash_len: a:Hash.hash_alg{S.hash_is_supported a} -> Tot (res:size_t{v res == Hash.hash_length a})
[@CInline]
let hash_len a =
Hacl.Hash.Definitions.hash_len a
inline_for_extraction noextract
let max_input_length = Hash.max_input_length | {
"checked_file": "/",
"dependencies": [
"Spec.RSAPSS.fst.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Streaming.SHA2.fst.checked",
"Hacl.Hash.Definitions.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Impl.RSAPSS.MGF.fst"
} | [
{
"abbrev": true,
"full_module": "Spec.Agile.Hash",
"short_module": "Hash"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": true,
"full_module": "Lib.ByteSequence",
"short_module": "BSeq"
},
{
"abbrev": true,
"full_module": "Spec.RSAPSS",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | l: Prims.int -> a: Spec.Hash.Definitions.hash_alg -> Prims.bool | Prims.Tot | [
"total"
] | [] | [
"Spec.Hash.Definitions.less_than_max_input_length"
] | [] | false | false | false | true | false | let less_than_max_input_length =
| Spec.Hash.Definitions.less_than_max_input_length | false |
|
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Nat64Equal | val va_wpProof_Nat64Equal : dst:va_operand_reg_opr64 -> src:va_operand_reg_opr64 -> va_s0:va_state
-> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Nat64Equal dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Nat64Equal dst src) ([va_Mod_flags;
va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Nat64Equal : dst:va_operand_reg_opr64 -> src:va_operand_reg_opr64 -> va_s0:va_state
-> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Nat64Equal dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Nat64Equal dst src) ([va_Mod_flags;
va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1033,
"start_col": 0,
"start_line": 1026
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
dst: Vale.X64.Decls.va_operand_reg_opr64 ->
src: Vale.X64.Decls.va_operand_reg_opr64 ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_operand_reg_opr64",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_reg_opr64",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_operand_reg_opr64",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Nat64Equal",
"Vale.X64.InsBasic.va_code_Nat64Equal"
] | [] | false | false | false | false | false | let va_wpProof_Nat64Equal dst src va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM
(va_update_ok va_sM
(va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))
));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Xgetbv_Avx512 | val va_wpProof_Xgetbv_Avx512 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Xgetbv_Avx512 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Xgetbv_Avx512 ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Xgetbv_Avx512 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Xgetbv_Avx512 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Xgetbv_Avx512 ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 984,
"start_col": 0,
"start_line": 977
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRax",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Xgetbv_Avx512",
"Vale.X64.InsBasic.va_code_Xgetbv_Avx512"
] | [] | false | false | false | false | false | let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Cpuid_Osxsave | val va_wpProof_Cpuid_Osxsave : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Cpuid_Osxsave va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Osxsave ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Cpuid_Osxsave : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Cpuid_Osxsave va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Osxsave ()) ([va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 922,
"start_col": 0,
"start_line": 914
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRax",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Cpuid_Osxsave",
"Vale.X64.InsBasic.va_code_Cpuid_Osxsave"
] | [] | false | false | false | false | false | let va_wpProof_Cpuid_Osxsave va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_reg64 rRdx
va_sM
(va_update_reg64 rRcx
va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))
);
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Cpuid_Rdrand | val va_lemma_Cpuid_Rdrand : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Rdrand ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 1073741824 > 0 == rdrand_enabled /\
va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx
va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | val va_lemma_Cpuid_Rdrand : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Rdrand ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 1073741824 > 0 == rdrand_enabled /\
va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx
va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 846,
"start_col": 0,
"start_line": 840
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.cpuid_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Instruction_s.out",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Cpuid",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Cpuid_Rdrand"
] | [] | false | false | false | false | false | let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Cpuid_Avx512 | val va_lemma_Cpuid_Avx512 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Avx512 ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 7 /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 65536 > 0 == avx512f_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 131072 > 0 == avx512dq_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 1073741824 > 0 == avx512bw_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 2147483648 > 0 == avx512vl_enabled /\
va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx
va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | val va_lemma_Cpuid_Avx512 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Avx512 ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 7 /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 65536 > 0 == avx512f_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 131072 > 0 == avx512dq_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 1073741824 > 0 == avx512bw_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 2147483648 > 0 == avx512vl_enabled /\
va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx
va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 878,
"start_col": 0,
"start_line": 872
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.cpuid_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Instruction_s.out",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Cpuid",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Cpuid_Avx512"
] | [] | false | false | false | false | false | let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Cpuid_Movbe | val va_lemma_Cpuid_Movbe : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Movbe ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 4194304 > 0 == movbe_enabled /\ va_state_eq
va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | val va_lemma_Cpuid_Movbe : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Movbe ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 4194304 > 0 == movbe_enabled /\ va_state_eq
va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 814,
"start_col": 0,
"start_line": 808
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.cpuid_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Instruction_s.out",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Cpuid",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Cpuid_Movbe"
] | [] | false | false | false | false | false | let va_lemma_Cpuid_Movbe va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Xgetbv_Avx512 | val va_lemma_Xgetbv_Avx512 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Xgetbv_Avx512 ()) va_s0 /\ va_get_ok va_s0 /\
osxsave_enabled /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRax va_sM) 32 > 0 == opmask_xcr0_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRax va_sM) 64 > 0 == zmm_hi256_xcr0_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRax va_sM) 128 > 0 == hi16_zmm_xcr0_enabled /\
va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM
va_s0))))) | val va_lemma_Xgetbv_Avx512 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Xgetbv_Avx512 ()) va_s0 /\ va_get_ok va_s0 /\
osxsave_enabled /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRax va_sM) 32 > 0 == opmask_xcr0_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRax va_sM) 64 > 0 == zmm_hi256_xcr0_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRax va_sM) 128 > 0 == hi16_zmm_xcr0_enabled /\
va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM
va_s0))))) | let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 973,
"start_col": 0,
"start_line": 967
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.xgetbv_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Xgetbv",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Xgetbv_Avx512"
] | [] | false | false | false | false | false | let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Xgetbv_Avx | val va_lemma_Xgetbv_Avx : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Xgetbv_Avx ()) va_s0 /\ va_get_ok va_s0 /\
osxsave_enabled /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRax va_sM) 2 > 0 == sse_xcr0_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRax va_sM) 4 > 0 == avx_xcr0_enabled /\ va_state_eq va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))) | val va_lemma_Xgetbv_Avx : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Xgetbv_Avx ()) va_s0 /\ va_get_ok va_s0 /\
osxsave_enabled /\ va_get_reg64 rRcx va_s0 = 0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRax va_sM) 2 > 0 == sse_xcr0_enabled /\
Vale.Arch.Types.iand64 (va_get_reg64 rRax va_sM) 4 > 0 == avx_xcr0_enabled /\ va_state_eq va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))) | let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 942,
"start_col": 0,
"start_line": 936
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.xgetbv_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Xgetbv",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Xgetbv_Avx"
] | [] | false | false | false | false | false | let va_lemma_Xgetbv_Avx va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Nat64Equal | val va_lemma_Nat64Equal : va_b0:va_code -> va_s0:va_state -> dst:va_operand_reg_opr64 ->
src:va_operand_reg_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Nat64Equal dst src) va_s0 /\ va_is_dst_reg_opr64 dst
va_s0 /\ va_is_dst_reg_opr64 src va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (if
(va_eval_reg_opr64 va_s0 src = 18446744073709551615) then (va_eval_reg_opr64 va_sM dst = 0)
else (va_eval_reg_opr64 va_sM dst = 1)) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst
va_sM va_s0)))))) | val va_lemma_Nat64Equal : va_b0:va_code -> va_s0:va_state -> dst:va_operand_reg_opr64 ->
src:va_operand_reg_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Nat64Equal dst src) va_s0 /\ va_is_dst_reg_opr64 dst
va_s0 /\ va_is_dst_reg_opr64 src va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (if
(va_eval_reg_opr64 va_s0 src = 18446744073709551615) then (va_eval_reg_opr64 va_sM dst = 0)
else (va_eval_reg_opr64 va_sM dst = 1)) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst
va_sM va_s0)))))) | let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 1022,
"start_col": 0,
"start_line": 1005
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
())))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_reg_opr64 ->
src: Vale.X64.Decls.va_operand_reg_opr64
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_reg_opr64",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_lemma_merge_total",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_lemma_empty_total",
"Prims.list",
"Vale.X64.Machine_s.precode",
"Vale.X64.Decls.ins",
"Vale.X64.Decls.ocmp",
"Vale.X64.Decls.va_tl",
"Vale.X64.InsBasic.va_lemma_Adc64",
"Vale.X64.Decls.va_hd",
"Vale.X64.Decls.va_coerce_reg_opr64_to_dst_opr64",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.InsBasic.va_lemma_Mov64",
"Vale.X64.InsBasic.va_lemma_Sub64Wrap",
"Vale.X64.Decls.va_get_block",
"Prims.unit",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Nat64Equal"
] | [] | false | false | false | false | false | let va_lemma_Nat64Equal va_b0 va_s0 dst src =
| va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let va_old_s:va_state = va_s0 in
let va_b1:va_codes = va_get_block va_b0 in
let va_s2, va_fc2 =
va_lemma_Sub64Wrap (va_hd va_b1)
va_s0
(va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)
in
let va_b2 = va_tl va_b1 in
let va_s3, va_fc3 =
va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)
in
let va_b3 = va_tl va_b2 in
let va_s4, va_fc4 =
va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)
in
let va_b4 = va_tl va_b3 in
let va_sM, va_f4 = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Comment | val va_lemma_Comment : va_b0:va_code -> va_s0:va_state -> c:string
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Comment c) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | val va_lemma_Comment : va_b0:va_code -> va_s0:va_state -> c:string
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Comment c) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 1053,
"start_col": 0,
"start_line": 1047
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> c: Prims.string
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Prims.string",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Comment",
"Vale.X64.Machine_Semantics_s.AnnotateComment",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Comment"
] | [] | false | false | false | false | false | let va_lemma_Comment va_b0 va_s0 c =
| va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0
in
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_LargeComment | val va_lemma_LargeComment : va_b0:va_code -> va_s0:va_state -> c:string
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_LargeComment c) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | val va_lemma_LargeComment : va_b0:va_code -> va_s0:va_state -> c:string
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_LargeComment c) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 1084,
"start_col": 0,
"start_line": 1077
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> c: Prims.string
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Prims.string",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_LargeComment",
"Vale.X64.Machine_Semantics_s.AnnotateLargeComment",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_LargeComment"
] | [] | false | false | false | false | false | let va_lemma_LargeComment va_b0 va_s0 c =
| va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0
in
(va_sM, va_fM) | false |
SteelNotNull.fst | SteelNotNull.main | val main: Prims.unit -> SteelT Int32.t emp (fun _ -> emp) | val main: Prims.unit -> SteelT Int32.t emp (fun _ -> emp) | let main () : SteelT Int32.t emp (fun _ -> emp) =
let r = malloc 0ul in
if is_null r then (
free r;
1l
) else (
free r;
0l
) | {
"file_name": "share/steel/tests/krml/SteelNotNull.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 3,
"end_line": 14,
"start_col": 0,
"start_line": 6
} | module SteelNotNull
open Steel.Effect
open Steel.Reference | {
"checked_file": "/",
"dependencies": [
"Steel.Reference.fsti.checked",
"Steel.Effect.fsti.checked",
"prims.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Int32.fsti.checked"
],
"interface_file": false,
"source_file": "SteelNotNull.fst"
} | [
{
"abbrev": false,
"full_module": "Steel.Reference",
"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
}
] | {
"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": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | _: Prims.unit -> Steel.Effect.SteelT FStar.Int32.t | Steel.Effect.SteelT | [] | [] | [
"Prims.unit",
"Steel.Reference.is_null",
"FStar.UInt32.t",
"FStar.Int32.__int_to_t",
"FStar.Int32.t",
"Steel.Reference.free",
"Prims.bool",
"Steel.Reference.ref",
"Steel.Reference.malloc",
"FStar.UInt32.__uint_to_t",
"Steel.Effect.Common.emp",
"Steel.Effect.Common.vprop"
] | [] | false | true | false | false | false | let main () : SteelT Int32.t emp (fun _ -> emp) =
| let r = malloc 0ul in
if is_null r
then
(free r;
1l)
else
(free r;
0l) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Space | val va_lemma_Space : va_b0:va_code -> va_s0:va_state -> n:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Space n) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | val va_lemma_Space : va_b0:va_code -> va_s0:va_state -> n:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Space n) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | let va_lemma_Space va_b0 va_s0 n =
va_reveal_opaque (`%va_code_Space) (va_code_Space n);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace
n))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 1174,
"start_col": 0,
"start_line": 1168
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline
[@ "opaque_to_smt"]
let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ())))
[@ "opaque_to_smt"]
let va_codegen_success_Newline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Newline va_b0 va_s0 =
va_reveal_opaque (`%va_code_Newline) (va_code_Newline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline
()))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Newline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Space
[@ "opaque_to_smt"]
let va_code_Space n =
(mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n)))
[@ "opaque_to_smt"]
let va_codegen_success_Space n =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> n: Prims.nat
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Prims.nat",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Space",
"Vale.X64.Machine_Semantics_s.AnnotateSpace",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Space"
] | [] | false | false | false | false | false | let va_lemma_Space va_b0 va_s0 n =
| va_reveal_opaque (`%va_code_Space) (va_code_Space n);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) va_s0
in
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Newline | val va_lemma_Newline : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Newline ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | val va_lemma_Newline : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Newline ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | let va_lemma_Newline va_b0 va_s0 =
va_reveal_opaque (`%va_code_Newline) (va_code_Newline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline
()))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 1144,
"start_col": 0,
"start_line": 1138
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline
[@ "opaque_to_smt"]
let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ())))
[@ "opaque_to_smt"]
let va_codegen_success_Newline () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Newline",
"Vale.X64.Machine_Semantics_s.AnnotateNewline",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Newline"
] | [] | false | false | false | false | false | let va_lemma_Newline va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Newline) (va_code_Newline ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0
in
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_LargeComment | val va_wpProof_LargeComment : c:string -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_LargeComment c va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_LargeComment c) ([]) va_s0 va_k
((va_sM, va_f0, va_g)))) | val va_wpProof_LargeComment : c:string -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_LargeComment c va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_LargeComment c) ([]) va_s0 va_k
((va_sM, va_f0, va_g)))) | let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1094,
"start_col": 0,
"start_line": 1088
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
c: Prims.string ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Prims.string",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Nil",
"Vale.X64.QuickCode.mod_t",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_LargeComment",
"Vale.X64.InsBasic.va_code_LargeComment"
] | [] | false | false | false | false | false | let va_wpProof_LargeComment c va_s0 va_k =
| let va_sM, va_f0 = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_NoNewline | val va_wpProof_NoNewline : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_NoNewline va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_NoNewline ()) ([]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | val va_wpProof_NoNewline : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_NoNewline va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_NoNewline ()) ([]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1124,
"start_col": 0,
"start_line": 1118
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Nil",
"Vale.X64.QuickCode.mod_t",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_NoNewline",
"Vale.X64.InsBasic.va_code_NoNewline"
] | [] | false | false | false | false | false | let va_wpProof_NoNewline va_s0 va_k =
| let va_sM, va_f0 = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Cpuid_Osxsave | val va_lemma_Cpuid_Osxsave : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Osxsave ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 134217728 > 0 == osxsave_enabled /\
va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx
va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | val va_lemma_Cpuid_Osxsave : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Cpuid_Osxsave ()) va_s0 /\ va_get_ok va_s0 /\
va_get_reg64 rRax va_s0 = 1))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 134217728 > 0 == osxsave_enabled /\
va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx
va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) | let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 910,
"start_col": 0,
"start_line": 904
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"Vale.X64.CPU_Features_s.cpuid_features",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.one64Reg",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Instruction_s.out",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Cpuid",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Cpuid_Osxsave"
] | [] | false | false | false | false | false | let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
| va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Newline | val va_wpProof_Newline : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Newline va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Newline ()) ([]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | val va_wpProof_Newline : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Newline va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Newline ()) ([]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | let va_wpProof_Newline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1154,
"start_col": 0,
"start_line": 1148
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline
[@ "opaque_to_smt"]
let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ())))
[@ "opaque_to_smt"]
let va_codegen_success_Newline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Newline va_b0 va_s0 =
va_reveal_opaque (`%va_code_Newline) (va_code_Newline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline
()))) va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Nil",
"Vale.X64.QuickCode.mod_t",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Newline",
"Vale.X64.InsBasic.va_code_Newline"
] | [] | false | false | false | false | false | let va_wpProof_Newline va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Newline (va_code_Newline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Comment | val va_wpProof_Comment : c:string -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Comment c va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Comment c) ([]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | val va_wpProof_Comment : c:string -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Comment c va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Comment c) ([]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1063,
"start_col": 0,
"start_line": 1057
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
c: Prims.string ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Prims.string",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Nil",
"Vale.X64.QuickCode.mod_t",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Comment",
"Vale.X64.InsBasic.va_code_Comment"
] | [] | false | false | false | false | false | let va_wpProof_Comment c va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_NoNewline | val va_lemma_NoNewline : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_NoNewline ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | val va_lemma_NoNewline : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_NoNewline ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 1114,
"start_col": 0,
"start_line": 1108
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Space",
"Vale.X64.Machine_Semantics_s.AnnotateSpace",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_NoNewline"
] | [] | false | false | false | false | false | let va_lemma_NoNewline va_b0 va_s0 =
| va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0
in
(va_sM, va_fM) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Space | val va_wpProof_Space : n:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Space n va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Space n) ([]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | val va_wpProof_Space : n:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Space n va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Space n) ([]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | let va_wpProof_Space n va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Space (va_code_Space n) va_s0 n in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1184,
"start_col": 0,
"start_line": 1178
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline
[@ "opaque_to_smt"]
let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ())))
[@ "opaque_to_smt"]
let va_codegen_success_Newline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Newline va_b0 va_s0 =
va_reveal_opaque (`%va_code_Newline) (va_code_Newline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline
()))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Newline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Space
[@ "opaque_to_smt"]
let va_code_Space n =
(mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n)))
[@ "opaque_to_smt"]
let va_codegen_success_Space n =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Space va_b0 va_s0 n =
va_reveal_opaque (`%va_code_Space) (va_code_Space n);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace
n))) va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
n: Prims.nat ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Prims.nat",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Nil",
"Vale.X64.QuickCode.mod_t",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Space",
"Vale.X64.InsBasic.va_code_Space"
] | [] | false | false | false | false | false | let va_wpProof_Space n va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Space (va_code_Space n) va_s0 n in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Steel.ST.GenElim.fst | Steel.ST.GenElim.compute_gen_unit_elim_f | val compute_gen_unit_elim_f (i: gen_unit_elim_i) : GTot (gen_unit_elim_t i) | val compute_gen_unit_elim_f (i: gen_unit_elim_i) : GTot (gen_unit_elim_t i) | let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2) | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 113,
"end_line": 42,
"start_col": 0,
"start_line": 36
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2)) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | i: Steel.ST.GenElim.Base.gen_unit_elim_i -> Prims.GTot (Steel.ST.GenElim.gen_unit_elim_t i) | Prims.GTot | [
"sometrivial"
] | [] | [
"Steel.ST.GenElim.Base.gen_unit_elim_i",
"Steel.ST.GenElim.gen_unit_elim_t",
"Steel.Effect.Common.vprop",
"Steel.ST.GenElim.compute_gen_unit_elim_f_id",
"Prims.prop",
"Steel.ST.GenElim.compute_gen_unit_elim_f_pure",
"Steel.ST.GenElim.compute_gen_unit_elim_f_star",
"Steel.ST.GenElim.compute_gen_unit_elim_f"
] | [
"recursion"
] | false | false | false | false | false | let rec compute_gen_unit_elim_f (i: gen_unit_elim_i) : GTot (gen_unit_elim_t i) =
| match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 ->
compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2) | false |
LList.fst | LList.pop | val pop (#a:Type) (ptr:t a) (l:list (cell a){Cons? l})
: Steel a
(llist ptr l)
(fun _ -> llist (next (L.hd l)) (L.tl l))
(requires fun _ -> True)
(ensures fun _ x _ -> x == data (L.hd l)) | val pop (#a:Type) (ptr:t a) (l:list (cell a){Cons? l})
: Steel a
(llist ptr l)
(fun _ -> llist (next (L.hd l)) (L.tl l))
(requires fun _ -> True)
(ensures fun _ x _ -> x == data (L.hd l)) | let pop #a ptr l =
let hd = L.hd l in
let tl = L.tl l in
rewrite_slprop (llist ptr l) (llist ptr (hd::tl)) (fun _ -> ());
elim_llist_cons ptr hd tl;
let c = read_pt ptr in
let n = next hd in
free_pt ptr;
rewrite_slprop (llist (next hd) tl) (llist (next (L.hd l)) (L.tl l)) (fun _ -> ());
return (data c) | {
"file_name": "share/steel/examples/steel/LList.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 17,
"end_line": 64,
"start_col": 0,
"start_line": 55
} | module LList
open Steel.Memory
open Steel.Effect.Atomic
open Steel.Effect
open Steel.FractionalPermission
open Steel.Reference
include LList.Invariant
module L = FStar.List.Tot.Base
#set-options "--ide_id_info_off"
let rec datas (#a:Type) (l:list (cell a)) : list a =
match l with
| [] -> []
| hd::tl -> data hd :: datas tl
val new_llist (#a:Type) (init:a)
: Steel (t a & list (cell a))
emp
(fun pc -> llist (fst pc) (snd pc))
(requires fun _ -> True)
(ensures fun _ pc _ -> datas (snd pc) == [init])
let new_llist #a init =
let cell = mk_cell null_llist init in
let p = alloc_pt cell in
intro_llist_nil a;
rewrite_slprop (llist null_llist []) (llist (next cell) []) (fun _ -> ());
intro_llist_cons p cell [];
let pc = p, [cell] in
pc
val push (#a:Type) (ptr:t a) (l:list (cell a)) (v:a)
: Steel (t a & list (cell a))
(llist ptr l)
(fun pc -> llist (fst pc) (snd pc))
(requires fun _ -> True)
(ensures fun _ pc _ -> datas (snd pc) == v::datas l)
let push #a ptr l v =
let cell = mk_cell ptr v in
let p = alloc_pt cell in
rewrite_slprop (llist ptr l) (llist (next cell) l) (fun _ -> ());
intro_llist_cons p cell l;
let pc = p, (cell::l) in
pc
val pop (#a:Type) (ptr:t a) (l:list (cell a){Cons? l})
: Steel a
(llist ptr l)
(fun _ -> llist (next (L.hd l)) (L.tl l))
(requires fun _ -> True)
(ensures fun _ x _ -> x == data (L.hd l)) | {
"checked_file": "/",
"dependencies": [
"Steel.Reference.fsti.checked",
"Steel.Memory.fsti.checked",
"Steel.FractionalPermission.fst.checked",
"Steel.Effect.Atomic.fsti.checked",
"Steel.Effect.fsti.checked",
"prims.fst.checked",
"LList.Invariant.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": false,
"source_file": "LList.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "LList.Invariant",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.Reference",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.FractionalPermission",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.Effect.Atomic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | ptr: LList.Invariant.t a -> l: Prims.list (LList.Invariant.cell a) {Cons? l} -> Steel.Effect.Steel a | Steel.Effect.Steel | [] | [] | [
"LList.Invariant.t",
"Prims.list",
"LList.Invariant.cell",
"Prims.b2t",
"Prims.uu___is_Cons",
"Steel.Effect.Atomic.return",
"FStar.Ghost.hide",
"FStar.Set.set",
"Steel.Memory.iname",
"FStar.Set.empty",
"LList.Invariant.llist",
"LList.Invariant.next",
"FStar.List.Tot.Base.hd",
"FStar.List.Tot.Base.tl",
"Steel.Effect.Common.vprop",
"LList.Invariant.data",
"Prims.unit",
"Steel.Effect.Atomic.rewrite_slprop",
"Steel.Memory.mem",
"Steel.Reference.free_pt",
"Steel.Reference.read_pt",
"Steel.FractionalPermission.full_perm",
"LList.Invariant.elim_llist_cons",
"Prims.Cons"
] | [] | false | true | false | false | false | let pop #a ptr l =
| let hd = L.hd l in
let tl = L.tl l in
rewrite_slprop (llist ptr l) (llist ptr (hd :: tl)) (fun _ -> ());
elim_llist_cons ptr hd tl;
let c = read_pt ptr in
let n = next hd in
free_pt ptr;
rewrite_slprop (llist (next hd) tl) (llist (next (L.hd l)) (L.tl l)) (fun _ -> ());
return (data c) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_wpProof_Prefetchnta | val va_wpProof_Prefetchnta : v:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Prefetchnta v va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Prefetchnta v) ([]) va_s0 va_k
((va_sM, va_f0, va_g)))) | val va_wpProof_Prefetchnta : v:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Prefetchnta v va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Prefetchnta v) ([]) va_s0 va_k
((va_sM, va_f0, va_g)))) | let va_wpProof_Prefetchnta v va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Prefetchnta (va_code_Prefetchnta v) va_s0 v in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1215,
"start_col": 0,
"start_line": 1209
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline
[@ "opaque_to_smt"]
let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ())))
[@ "opaque_to_smt"]
let va_codegen_success_Newline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Newline va_b0 va_s0 =
va_reveal_opaque (`%va_code_Newline) (va_code_Newline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline
()))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Newline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Space
[@ "opaque_to_smt"]
let va_code_Space n =
(mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n)))
[@ "opaque_to_smt"]
let va_codegen_success_Space n =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Space va_b0 va_s0 n =
va_reveal_opaque (`%va_code_Space) (va_code_Space n);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace
n))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Space n va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Space (va_code_Space n) va_s0 n in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Prefetchnta
[@ "opaque_to_smt"]
let va_code_Prefetchnta v =
(mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v))
[@ "opaque_to_smt"]
let va_codegen_success_Prefetchnta v =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Prefetchnta va_b0 va_s0 v =
va_reveal_opaque (`%va_code_Prefetchnta) (va_code_Prefetchnta v);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Prefetchnta)
(S.AnnotatePrefetchnta ()) v)) va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
v: Vale.X64.Decls.va_operand_opr64 ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_operand_opr64",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Nil",
"Vale.X64.QuickCode.mod_t",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsBasic.va_lemma_Prefetchnta",
"Vale.X64.InsBasic.va_code_Prefetchnta"
] | [] | false | false | false | false | false | let va_wpProof_Prefetchnta v va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Prefetchnta (va_code_Prefetchnta v) va_s0 v in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Bane.Lib.fst | Bane.Lib.big_phi | val big_phi : int -> Tac unit | val big_phi : int -> Tac unit | let rec big_phi (n : int) =
if n = 0
then exact (`True)
else begin
apply (`l_and);
big_phi (n - 1);
big_phi (n - 1)
end | {
"file_name": "examples/tactics/Bane.Lib.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 7,
"end_line": 28,
"start_col": 0,
"start_line": 21
} | (*
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 Bane.Lib
open FStar.Tactics.V2
(* To understand the naming convention on this file, please refer to
* https://www.youtube.com/watch?v=w9wi0cPrU4U *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Bane.Lib.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Bane",
"short_module": null
},
{
"abbrev": false,
"full_module": "Bane",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | n: Prims.int -> FStar.Tactics.Effect.Tac Prims.unit | FStar.Tactics.Effect.Tac | [] | [] | [
"Prims.int",
"Prims.op_Equality",
"FStar.Tactics.V2.Derived.exact",
"Prims.unit",
"Prims.bool",
"Bane.Lib.big_phi",
"Prims.op_Subtraction",
"FStar.Tactics.V2.Derived.apply"
] | [
"recursion"
] | false | true | false | false | false | let rec big_phi (n: int) =
| if n = 0
then exact (`True)
else
(apply (`l_and);
big_phi (n - 1);
big_phi (n - 1)) | false |
Steel.ST.GenElim.fst | Steel.ST.GenElim.tele_p | val tele_p (x: gen_elim_tele) : Tot vprop | val tele_p (x: gen_elim_tele) : Tot vprop | let rec tele_p (x: gen_elim_tele) : Tot vprop =
match x with
| TRet v p -> v `star` pure p
| TExists ty body -> exists_ (fun x -> tele_p (body x)) | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 57,
"end_line": 153,
"start_col": 0,
"start_line": 150
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2))
let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2)
let gen_elim_t (i: gen_elim_i) : Tot Type =
gen_elim_f (compute_gen_elim_p i) (compute_gen_elim_a i) (compute_gen_elim_q i) (compute_gen_elim_post i)
let compute_gen_elim_f_unit
(i: gen_unit_elim_i)
: GTot (gen_elim_t (GEUnit i))
= compute_gen_unit_elim_f i
let compute_gen_elim_f_star_l
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_unit_elim_i)
: GTot (gen_elim_t (GEStarL i1 i2))
= let f2 = compute_gen_unit_elim_f i2 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarL i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_unit_elim_p i2);
let res = f1 _ in
f2 _;
let res' : compute_gen_elim_a (GEStarL i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_elim_q i1 res `star` compute_gen_unit_elim_q i2) (compute_gen_elim_q (GEStarL i1 i2) res');
res'
let compute_gen_elim_f_star_r
(i1: gen_unit_elim_i)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStarR i1 i2))
= let f1 = compute_gen_unit_elim_f i1 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarR i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_elim_p i2);
f1 _;
let res = f2 _ in
let res' : compute_gen_elim_a (GEStarR i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_elim_q i2 res) (compute_gen_elim_q (GEStarR i1 i2) res');
res'
let compute_gen_elim_f_star
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStar i1 i2))
= fun _ ->
rewrite (compute_gen_elim_p (GEStar i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_elim_p i2);
let res1 = f1 _ in
let res2 = f2 _ in
let res : compute_gen_elim_a (GEStar i1 i2) = coerce_with_trefl (res1, res2) in
rewrite (compute_gen_elim_q i1 res1 `star` compute_gen_elim_q i2 res2) (compute_gen_elim_q (GEStar i1 i2) res);
res
let compute_gen_elim_f_exists_no_abs
(a: Type0)
(body: (a -> vprop))
: GTot (gen_elim_t (GEExistsNoAbs body))
= fun _ ->
rewrite (compute_gen_elim_p (GEExistsNoAbs body)) (exists_ body);
let gres = elim_exists () in
let res : compute_gen_elim_a (GEExistsNoAbs body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (body gres) (compute_gen_elim_q (GEExistsNoAbs body) res);
res
let rewrite_with_trefl (#opened:_) (p q:vprop)
: STGhost unit opened
p
(fun _ -> q)
(requires T.with_tactic T.trefl (p == q))
(ensures fun _ -> True)
= rewrite p q
let compute_gen_elim_f_exists_unit
(a: Type0)
(body: a -> gen_unit_elim_i)
: Tot (gen_elim_t (GEExistsUnit body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExistsUnit body)) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let gres = elim_exists () in
compute_gen_unit_elim_f (body gres) _;
let res : compute_gen_elim_a (GEExistsUnit body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (compute_gen_unit_elim_q (body gres)) (compute_gen_elim_q (GEExistsUnit body) res);
res
let compute_gen_elim_f_exists
(a: Type0)
(body: a -> gen_elim_i)
(f: (x: a) -> GTot (gen_elim_t (body x)))
: Tot (gen_elim_t (GEExists body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExists body)) (exists_ (fun x -> compute_gen_elim_p (body x)));
let gres1 = elim_exists () in
let gres2 = f gres1 _ in
let res : compute_gen_elim_a (GEExists body) = coerce_with_trefl (Mkdtuple2 #a #(fun x -> compute_gen_elim_a (body x)) (Ghost.reveal gres1) (Ghost.reveal gres2)) in
rewrite (compute_gen_elim_q (body gres1) gres2) (compute_gen_elim_q (GEExists body) res);
res
let rec compute_gen_elim_f
(i: gen_elim_i)
: GTot (gen_elim_t i)
= match i returns (gen_elim_t i) with
| GEUnit i -> compute_gen_elim_f_unit i
| GEStarL i1 i2 -> compute_gen_elim_f_star_l i1 (compute_gen_elim_f i1) i2
| GEStarR i1 i2 -> compute_gen_elim_f_star_r i1 i2 (compute_gen_elim_f i2)
| GEStar i1 i2 -> compute_gen_elim_f_star i1 (compute_gen_elim_f i1) i2 (compute_gen_elim_f i2)
| GEExistsNoAbs body -> compute_gen_elim_f_exists_no_abs _ body
| GEExistsUnit body -> compute_gen_elim_f_exists_unit _ body
| GEExists body -> compute_gen_elim_f_exists _ body (fun x -> compute_gen_elim_f (body x)) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | x: Steel.ST.GenElim.Base.gen_elim_tele -> Steel.Effect.Common.vprop | Prims.Tot | [
"total"
] | [] | [
"Steel.ST.GenElim.Base.gen_elim_tele",
"Steel.Effect.Common.vprop",
"Prims.prop",
"Steel.Effect.Common.star",
"Steel.ST.Util.pure",
"Steel.ST.Util.exists_",
"Steel.ST.GenElim.tele_p"
] | [
"recursion"
] | false | false | false | true | false | let rec tele_p (x: gen_elim_tele) : Tot vprop =
| match x with
| TRet v p -> v `star` (pure p)
| TExists ty body -> exists_ (fun x -> tele_p (body x)) | false |
Steel.ST.GenElim.fst | Steel.ST.GenElim.compute_gen_elim_f | val compute_gen_elim_f (i: gen_elim_i) : GTot (gen_elim_t i) | val compute_gen_elim_f (i: gen_elim_i) : GTot (gen_elim_t i) | let rec compute_gen_elim_f
(i: gen_elim_i)
: GTot (gen_elim_t i)
= match i returns (gen_elim_t i) with
| GEUnit i -> compute_gen_elim_f_unit i
| GEStarL i1 i2 -> compute_gen_elim_f_star_l i1 (compute_gen_elim_f i1) i2
| GEStarR i1 i2 -> compute_gen_elim_f_star_r i1 i2 (compute_gen_elim_f i2)
| GEStar i1 i2 -> compute_gen_elim_f_star i1 (compute_gen_elim_f i1) i2 (compute_gen_elim_f i2)
| GEExistsNoAbs body -> compute_gen_elim_f_exists_no_abs _ body
| GEExistsUnit body -> compute_gen_elim_f_exists_unit _ body
| GEExists body -> compute_gen_elim_f_exists _ body (fun x -> compute_gen_elim_f (body x)) | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 92,
"end_line": 148,
"start_col": 0,
"start_line": 138
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2))
let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2)
let gen_elim_t (i: gen_elim_i) : Tot Type =
gen_elim_f (compute_gen_elim_p i) (compute_gen_elim_a i) (compute_gen_elim_q i) (compute_gen_elim_post i)
let compute_gen_elim_f_unit
(i: gen_unit_elim_i)
: GTot (gen_elim_t (GEUnit i))
= compute_gen_unit_elim_f i
let compute_gen_elim_f_star_l
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_unit_elim_i)
: GTot (gen_elim_t (GEStarL i1 i2))
= let f2 = compute_gen_unit_elim_f i2 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarL i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_unit_elim_p i2);
let res = f1 _ in
f2 _;
let res' : compute_gen_elim_a (GEStarL i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_elim_q i1 res `star` compute_gen_unit_elim_q i2) (compute_gen_elim_q (GEStarL i1 i2) res');
res'
let compute_gen_elim_f_star_r
(i1: gen_unit_elim_i)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStarR i1 i2))
= let f1 = compute_gen_unit_elim_f i1 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarR i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_elim_p i2);
f1 _;
let res = f2 _ in
let res' : compute_gen_elim_a (GEStarR i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_elim_q i2 res) (compute_gen_elim_q (GEStarR i1 i2) res');
res'
let compute_gen_elim_f_star
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStar i1 i2))
= fun _ ->
rewrite (compute_gen_elim_p (GEStar i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_elim_p i2);
let res1 = f1 _ in
let res2 = f2 _ in
let res : compute_gen_elim_a (GEStar i1 i2) = coerce_with_trefl (res1, res2) in
rewrite (compute_gen_elim_q i1 res1 `star` compute_gen_elim_q i2 res2) (compute_gen_elim_q (GEStar i1 i2) res);
res
let compute_gen_elim_f_exists_no_abs
(a: Type0)
(body: (a -> vprop))
: GTot (gen_elim_t (GEExistsNoAbs body))
= fun _ ->
rewrite (compute_gen_elim_p (GEExistsNoAbs body)) (exists_ body);
let gres = elim_exists () in
let res : compute_gen_elim_a (GEExistsNoAbs body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (body gres) (compute_gen_elim_q (GEExistsNoAbs body) res);
res
let rewrite_with_trefl (#opened:_) (p q:vprop)
: STGhost unit opened
p
(fun _ -> q)
(requires T.with_tactic T.trefl (p == q))
(ensures fun _ -> True)
= rewrite p q
let compute_gen_elim_f_exists_unit
(a: Type0)
(body: a -> gen_unit_elim_i)
: Tot (gen_elim_t (GEExistsUnit body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExistsUnit body)) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let gres = elim_exists () in
compute_gen_unit_elim_f (body gres) _;
let res : compute_gen_elim_a (GEExistsUnit body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (compute_gen_unit_elim_q (body gres)) (compute_gen_elim_q (GEExistsUnit body) res);
res
let compute_gen_elim_f_exists
(a: Type0)
(body: a -> gen_elim_i)
(f: (x: a) -> GTot (gen_elim_t (body x)))
: Tot (gen_elim_t (GEExists body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExists body)) (exists_ (fun x -> compute_gen_elim_p (body x)));
let gres1 = elim_exists () in
let gres2 = f gres1 _ in
let res : compute_gen_elim_a (GEExists body) = coerce_with_trefl (Mkdtuple2 #a #(fun x -> compute_gen_elim_a (body x)) (Ghost.reveal gres1) (Ghost.reveal gres2)) in
rewrite (compute_gen_elim_q (body gres1) gres2) (compute_gen_elim_q (GEExists body) res);
res | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | i: Steel.ST.GenElim.Base.gen_elim_i -> Prims.GTot (Steel.ST.GenElim.gen_elim_t i) | Prims.GTot | [
"sometrivial"
] | [] | [
"Steel.ST.GenElim.Base.gen_elim_i",
"Steel.ST.GenElim.gen_elim_t",
"Steel.ST.GenElim.Base.gen_unit_elim_i",
"Steel.ST.GenElim.compute_gen_elim_f_unit",
"Steel.ST.GenElim.compute_gen_elim_f_star_l",
"Steel.ST.GenElim.compute_gen_elim_f",
"Steel.ST.GenElim.compute_gen_elim_f_star_r",
"Steel.ST.GenElim.compute_gen_elim_f_star",
"Steel.Effect.Common.vprop",
"Steel.ST.GenElim.compute_gen_elim_f_exists_no_abs",
"Steel.ST.GenElim.compute_gen_elim_f_exists_unit",
"Steel.ST.GenElim.compute_gen_elim_f_exists"
] | [
"recursion"
] | false | false | false | false | false | let rec compute_gen_elim_f (i: gen_elim_i) : GTot (gen_elim_t i) =
| match i returns (gen_elim_t i) with
| GEUnit i -> compute_gen_elim_f_unit i
| GEStarL i1 i2 -> compute_gen_elim_f_star_l i1 (compute_gen_elim_f i1) i2
| GEStarR i1 i2 -> compute_gen_elim_f_star_r i1 i2 (compute_gen_elim_f i2)
| GEStar i1 i2 -> compute_gen_elim_f_star i1 (compute_gen_elim_f i1) i2 (compute_gen_elim_f i2)
| GEExistsNoAbs body -> compute_gen_elim_f_exists_no_abs _ body
| GEExistsUnit body -> compute_gen_elim_f_exists_unit _ body
| GEExists body -> compute_gen_elim_f_exists _ body (fun x -> compute_gen_elim_f (body x)) | false |
Bane.Lib.fst | Bane.Lib.mytac | val mytac : _: Prims.unit -> FStar.Tactics.Effect.Tac Prims.unit | let mytac () =
norm [delta_only ["Bane.Lib.for_you"]];
seq (fun () -> repeatseq split)
(fun () -> or_else (fun () -> let _ = repeat split in ()) trivial) | {
"file_name": "examples/tactics/Bane.Lib.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 74,
"end_line": 40,
"start_col": 0,
"start_line": 37
} | (*
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 Bane.Lib
open FStar.Tactics.V2
(* To understand the naming convention on this file, please refer to
* https://www.youtube.com/watch?v=w9wi0cPrU4U *)
val big_phi : int -> Tac unit
let rec big_phi (n : int) =
if n = 0
then exact (`True)
else begin
apply (`l_and);
big_phi (n - 1);
big_phi (n - 1)
end
let for_you : Type0 = synth_by_tactic (fun () -> big_phi 8)
let rec repeat_or_fail (t : unit -> Tac unit) : Tac unit =
match trytac t with
| None -> fail "Cannot apply t any more"
| Some x -> repeat_or_fail t | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Bane.Lib.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Bane",
"short_module": null
},
{
"abbrev": false,
"full_module": "Bane",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | _: Prims.unit -> FStar.Tactics.Effect.Tac Prims.unit | FStar.Tactics.Effect.Tac | [] | [] | [
"Prims.unit",
"FStar.Tactics.V2.Derived.seq",
"FStar.Tactics.V2.Derived.repeatseq",
"FStar.Tactics.V2.Logic.split",
"FStar.Tactics.V2.Derived.or_else",
"Prims.list",
"FStar.Tactics.V2.Derived.repeat",
"FStar.Tactics.V2.Derived.trivial",
"FStar.Stubs.Tactics.V2.Builtins.norm",
"Prims.Cons",
"FStar.Pervasives.norm_step",
"FStar.Pervasives.delta_only",
"Prims.string",
"Prims.Nil"
] | [] | false | true | false | false | false | let mytac () =
| norm [delta_only ["Bane.Lib.for_you"]];
seq (fun () -> repeatseq split)
(fun () ->
or_else (fun () ->
let _ = repeat split in
())
trivial) | false |
|
Steel.ST.GenElim.fst | Steel.ST.GenElim.tele_star_vprop_correct | val tele_star_vprop_correct (i: gen_elim_tele) (v: vprop) (p: prop)
: GTot (vprop_rewrite (((tele_p i) `star` v) `star` (pure p)) (tele_p (tele_star_vprop i v p))) | val tele_star_vprop_correct (i: gen_elim_tele) (v: vprop) (p: prop)
: GTot (vprop_rewrite (((tele_p i) `star` v) `star` (pure p)) (tele_p (tele_star_vprop i v p))) | let rec tele_star_vprop_correct
(i: gen_elim_tele) (v: vprop) (p: prop)
: GTot (vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p))
)
= match i returns vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p)) with
| TRet v' p' -> tele_star_vprop_correct_ret v' p' v p
| TExists ty body -> tele_star_vprop_correct_exists v p ty body (fun x -> tele_star_vprop_correct (body x) v p) | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 113,
"end_line": 201,
"start_col": 0,
"start_line": 191
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2))
let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2)
let gen_elim_t (i: gen_elim_i) : Tot Type =
gen_elim_f (compute_gen_elim_p i) (compute_gen_elim_a i) (compute_gen_elim_q i) (compute_gen_elim_post i)
let compute_gen_elim_f_unit
(i: gen_unit_elim_i)
: GTot (gen_elim_t (GEUnit i))
= compute_gen_unit_elim_f i
let compute_gen_elim_f_star_l
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_unit_elim_i)
: GTot (gen_elim_t (GEStarL i1 i2))
= let f2 = compute_gen_unit_elim_f i2 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarL i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_unit_elim_p i2);
let res = f1 _ in
f2 _;
let res' : compute_gen_elim_a (GEStarL i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_elim_q i1 res `star` compute_gen_unit_elim_q i2) (compute_gen_elim_q (GEStarL i1 i2) res');
res'
let compute_gen_elim_f_star_r
(i1: gen_unit_elim_i)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStarR i1 i2))
= let f1 = compute_gen_unit_elim_f i1 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarR i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_elim_p i2);
f1 _;
let res = f2 _ in
let res' : compute_gen_elim_a (GEStarR i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_elim_q i2 res) (compute_gen_elim_q (GEStarR i1 i2) res');
res'
let compute_gen_elim_f_star
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStar i1 i2))
= fun _ ->
rewrite (compute_gen_elim_p (GEStar i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_elim_p i2);
let res1 = f1 _ in
let res2 = f2 _ in
let res : compute_gen_elim_a (GEStar i1 i2) = coerce_with_trefl (res1, res2) in
rewrite (compute_gen_elim_q i1 res1 `star` compute_gen_elim_q i2 res2) (compute_gen_elim_q (GEStar i1 i2) res);
res
let compute_gen_elim_f_exists_no_abs
(a: Type0)
(body: (a -> vprop))
: GTot (gen_elim_t (GEExistsNoAbs body))
= fun _ ->
rewrite (compute_gen_elim_p (GEExistsNoAbs body)) (exists_ body);
let gres = elim_exists () in
let res : compute_gen_elim_a (GEExistsNoAbs body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (body gres) (compute_gen_elim_q (GEExistsNoAbs body) res);
res
let rewrite_with_trefl (#opened:_) (p q:vprop)
: STGhost unit opened
p
(fun _ -> q)
(requires T.with_tactic T.trefl (p == q))
(ensures fun _ -> True)
= rewrite p q
let compute_gen_elim_f_exists_unit
(a: Type0)
(body: a -> gen_unit_elim_i)
: Tot (gen_elim_t (GEExistsUnit body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExistsUnit body)) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let gres = elim_exists () in
compute_gen_unit_elim_f (body gres) _;
let res : compute_gen_elim_a (GEExistsUnit body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (compute_gen_unit_elim_q (body gres)) (compute_gen_elim_q (GEExistsUnit body) res);
res
let compute_gen_elim_f_exists
(a: Type0)
(body: a -> gen_elim_i)
(f: (x: a) -> GTot (gen_elim_t (body x)))
: Tot (gen_elim_t (GEExists body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExists body)) (exists_ (fun x -> compute_gen_elim_p (body x)));
let gres1 = elim_exists () in
let gres2 = f gres1 _ in
let res : compute_gen_elim_a (GEExists body) = coerce_with_trefl (Mkdtuple2 #a #(fun x -> compute_gen_elim_a (body x)) (Ghost.reveal gres1) (Ghost.reveal gres2)) in
rewrite (compute_gen_elim_q (body gres1) gres2) (compute_gen_elim_q (GEExists body) res);
res
let rec compute_gen_elim_f
(i: gen_elim_i)
: GTot (gen_elim_t i)
= match i returns (gen_elim_t i) with
| GEUnit i -> compute_gen_elim_f_unit i
| GEStarL i1 i2 -> compute_gen_elim_f_star_l i1 (compute_gen_elim_f i1) i2
| GEStarR i1 i2 -> compute_gen_elim_f_star_r i1 i2 (compute_gen_elim_f i2)
| GEStar i1 i2 -> compute_gen_elim_f_star i1 (compute_gen_elim_f i1) i2 (compute_gen_elim_f i2)
| GEExistsNoAbs body -> compute_gen_elim_f_exists_no_abs _ body
| GEExistsUnit body -> compute_gen_elim_f_exists_unit _ body
| GEExists body -> compute_gen_elim_f_exists _ body (fun x -> compute_gen_elim_f (body x))
let rec tele_p (x: gen_elim_tele) : Tot vprop =
match x with
| TRet v p -> v `star` pure p
| TExists ty body -> exists_ (fun x -> tele_p (body x))
let elim_exists' (#a:Type)
(#opened_invariants:_)
(#p:a -> vprop)
(_:unit)
: STGhostT (a) opened_invariants
(exists_ p)
(fun x -> p x)
= let gx = elim_exists () in
let x = Ghost.reveal gx in
rewrite (p gx) (p x);
x
let vprop_rewrite (from to: vprop) : Tot Type =
gen_elim_f from unit (fun _ -> to) (fun _ -> True)
let tele_star_vprop_correct_ret
(v': vprop) (p': prop) (v: vprop) (p: prop)
: Tot (vprop_rewrite (tele_p (TRet v' p') `star` v `star` pure p) (tele_p (tele_star_vprop (TRet v' p') v p)))
= fun _ ->
elim_pure p;
rewrite (tele_p _) (v' `star` pure p');
elim_pure p';
intro_pure (p /\ p');
rewrite ((v `star` v') `star` pure (p /\ p')) (tele_p _)
let tele_star_vprop_correct_exists
(v: vprop) (p: prop)
(ty: _) (body: ty -> gen_elim_tele) (ih: (x: ty) -> GTot (vprop_rewrite (tele_p (body x) `star` v `star` pure p) (tele_p (tele_star_vprop (body x) v p))))
: Tot (vprop_rewrite (tele_p (TExists ty body) `star` v `star` pure p) (tele_p (tele_star_vprop (TExists ty body) v p)))
= fun _ ->
rewrite_with_trefl (tele_p _) (exists_ (fun x -> tele_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (tele_star_vprop (body x) v p));
rewrite_with_trefl (exists_ (fun x -> tele_p (tele_star_vprop (body x) v p))) (tele_p _) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | i: Steel.ST.GenElim.Base.gen_elim_tele -> v: Steel.Effect.Common.vprop -> p: Prims.prop
-> Prims.GTot
(Steel.ST.GenElim.vprop_rewrite (Steel.Effect.Common.star (Steel.Effect.Common.star (Steel.ST.GenElim.tele_p
i)
v)
(Steel.ST.Util.pure p))
(Steel.ST.GenElim.tele_p (Steel.ST.GenElim.Base.tele_star_vprop i v p))) | Prims.GTot | [
"sometrivial"
] | [] | [
"Steel.ST.GenElim.Base.gen_elim_tele",
"Steel.Effect.Common.vprop",
"Prims.prop",
"Steel.ST.GenElim.vprop_rewrite",
"Steel.Effect.Common.star",
"Steel.ST.GenElim.tele_p",
"Steel.ST.Util.pure",
"Steel.ST.GenElim.Base.tele_star_vprop",
"Steel.ST.GenElim.tele_star_vprop_correct_ret",
"Steel.ST.GenElim.tele_star_vprop_correct_exists",
"Steel.ST.GenElim.tele_star_vprop_correct"
] | [
"recursion"
] | false | false | false | false | false | let rec tele_star_vprop_correct (i: gen_elim_tele) (v: vprop) (p: prop)
: GTot (vprop_rewrite (((tele_p i) `star` v) `star` (pure p)) (tele_p (tele_star_vprop i v p))) =
| match
i returns vprop_rewrite (((tele_p i) `star` v) `star` (pure p)) (tele_p (tele_star_vprop i v p))
with
| TRet v' p' -> tele_star_vprop_correct_ret v' p' v p
| TExists ty body ->
tele_star_vprop_correct_exists v p ty body (fun x -> tele_star_vprop_correct (body x) v p) | false |
Bane.Lib.fst | Bane.Lib.for_you | val for_you:Type0 | val for_you:Type0 | let for_you : Type0 = synth_by_tactic (fun () -> big_phi 8) | {
"file_name": "examples/tactics/Bane.Lib.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 59,
"end_line": 30,
"start_col": 0,
"start_line": 30
} | (*
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 Bane.Lib
open FStar.Tactics.V2
(* To understand the naming convention on this file, please refer to
* https://www.youtube.com/watch?v=w9wi0cPrU4U *)
val big_phi : int -> Tac unit
let rec big_phi (n : int) =
if n = 0
then exact (`True)
else begin
apply (`l_and);
big_phi (n - 1);
big_phi (n - 1)
end | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Bane.Lib.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Bane",
"short_module": null
},
{
"abbrev": false,
"full_module": "Bane",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | Type0 | Prims.Tot | [
"total"
] | [] | [
"Prims.l_and",
"Prims.l_True"
] | [] | false | false | false | true | true | let for_you:Type0 =
| synth_by_tactic (fun () -> big_phi 8) | false |
Vale.X64.InsBasic.fst | Vale.X64.InsBasic.va_lemma_Prefetchnta | val va_lemma_Prefetchnta : va_b0:va_code -> va_s0:va_state -> v:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Prefetchnta v) va_s0 /\ va_is_src_opr64 v va_s0 /\
va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | val va_lemma_Prefetchnta : va_b0:va_code -> va_s0:va_state -> v:va_operand_opr64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Prefetchnta v) va_s0 /\ va_is_src_opr64 v va_s0 /\
va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_ok va_sM va_s0))) | let va_lemma_Prefetchnta va_b0 va_s0 v =
va_reveal_opaque (`%va_code_Prefetchnta) (va_code_Prefetchnta v);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Prefetchnta)
(S.AnnotatePrefetchnta ()) v)) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsBasic.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 1205,
"start_col": 0,
"start_line": 1198
} | module Vale.X64.InsBasic
open Vale.X64
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.CPU_Features_s
open Vale.X64.Memory
open Vale.X64.Stack_i
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20"
//-- Mov64
[@ "opaque_to_smt"]
let va_code_Mov64 dst src =
(mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Mov64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mov64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mov64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cmovc64
[@ "opaque_to_smt"]
let va_code_Cmovc64 dst src =
(mk_ins (make_instr (I.ins_Cmovc64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Cmovc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cmovc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cmovc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64
[@ "opaque_to_smt"]
let va_code_Add64 dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Add64Wrap
[@ "opaque_to_smt"]
let va_code_Add64Wrap dst src =
(mk_ins (make_instr (I.ins_Add64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Add64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Add64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Add64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddLea64
[@ "opaque_to_smt"]
let va_code_AddLea64 dst src1 src2 =
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
[@ "opaque_to_smt"]
let va_codegen_success_AddLea64 dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64
[@ "opaque_to_smt"]
let va_code_Adc64 dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adc64Wrap
[@ "opaque_to_smt"]
let va_code_Adc64Wrap dst src =
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adc64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adc64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Adcx64Wrap
#push-options "--smtencoding.nl_arith_repr boxwrap"
[@ "opaque_to_smt"]
let va_code_Adcx64Wrap dst src =
(mk_ins (make_instr (I.ins_Adcx64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adcx64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in
assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst)
(va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) ==
(va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf
(va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- Adox64Wrap
[@ "opaque_to_smt"]
let va_code_Adox64Wrap dst src =
(mk_ins (make_instr (I.ins_Adox64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Adox64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Adox64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64
[@ "opaque_to_smt"]
let va_code_Sub64 dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sub64Wrap
[@ "opaque_to_smt"]
let va_code_Sub64Wrap dst src =
(mk_ins (make_instr (I.ins_Sub64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sub64Wrap dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sub64Wrap dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Sbb64
[@ "opaque_to_smt"]
let va_code_Sbb64 dst src =
(mk_ins (make_instr (I.ins_Sbb64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Sbb64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Sbb64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Sbb64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
#restart-solver
#push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'"
let lemma_fundamental_div_mod (a b:nat64) :
Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b)
=
FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64
#pop-options
//-- lemma_fundamental_div_mod
//--
//-- Mul64Wrap
[@ "opaque_to_smt"]
let va_code_Mul64Wrap src =
(mk_ins (make_instr (I.ins_Mul64) src))
[@ "opaque_to_smt"]
let va_codegen_success_Mul64Wrap src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mul64Wrap va_b0 va_s0 src =
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mul64Wrap src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_flags va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Mulx64
[@ "opaque_to_smt"]
let va_code_Mulx64 dst_hi dst_lo src =
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
[@ "opaque_to_smt"]
let va_codegen_success_Mulx64 dst_hi dst_lo src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src =
va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in
lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM
(va_update_operand_dst_opr64 dst_hi va_sM va_s0))));
va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- lemma_mul_nat
//--
//-- lemma_mul_in_bounds
//--
//-- IMul64
[@ "opaque_to_smt"]
let va_code_IMul64 dst src =
(mk_ins (make_instr (I.ins_IMul64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_IMul64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_IMul64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in
lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src);
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_IMul64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xor64
[@ "opaque_to_smt"]
let va_code_Xor64 dst src =
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_Xor64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xor64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ())
dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xor64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- And64
[@ "opaque_to_smt"]
let va_code_And64 dst src =
(mk_ins (make_instr (I.ins_And64) dst src))
[@ "opaque_to_smt"]
let va_codegen_success_And64 dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_And64 va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_And64 dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shl64
[@ "opaque_to_smt"]
let va_code_Shl64 dst amt =
(mk_ins (make_instr (I.ins_Shl64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shl64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shl64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shl64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Shr64
[@ "opaque_to_smt"]
let va_code_Shr64 dst amt =
(mk_ins (make_instr (I.ins_Shr64) dst amt))
[@ "opaque_to_smt"]
let va_codegen_success_Shr64 dst amt =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Shr64 va_b0 va_s0 dst amt =
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Shr64 dst amt va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64
dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_AES
[@ "opaque_to_smt"]
let va_code_Cpuid_AES () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_AES () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_AES va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_AES va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sha
[@ "opaque_to_smt"]
let va_code_Cpuid_Sha () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sha () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sha va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sha va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Adx_Bmi2
[@ "opaque_to_smt"]
let va_code_Cpuid_Adx_Bmi2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Adx_Bmi2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx2
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx2 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx2 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx2 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Sse
[@ "opaque_to_smt"]
let va_code_Cpuid_Sse () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Sse () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Sse va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Sse va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Movbe
[@ "opaque_to_smt"]
let va_code_Cpuid_Movbe () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Movbe () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Movbe va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Movbe va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Rdrand
[@ "opaque_to_smt"]
let va_code_Cpuid_Rdrand () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Rdrand () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Rdrand va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Rdrand va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Avx512
[@ "opaque_to_smt"]
let va_code_Cpuid_Avx512 () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Cpuid_Osxsave
[@ "opaque_to_smt"]
let va_code_Cpuid_Osxsave () =
(mk_ins (make_instr (I.ins_Cpuid)))
[@ "opaque_to_smt"]
let va_codegen_success_Cpuid_Osxsave () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Cpuid_Osxsave va_b0 va_s0 =
va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in
Vale.X64.CPU_Features_s.cpuid_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Cpuid_Osxsave va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Xgetbv_Avx512
[@ "opaque_to_smt"]
let va_code_Xgetbv_Avx512 () =
(mk_ins (make_instr (I.ins_Xgetbv)))
[@ "opaque_to_smt"]
let va_codegen_success_Xgetbv_Avx512 () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Xgetbv_Avx512 va_b0 va_s0 =
va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in
Vale.X64.CPU_Features_s.xgetbv_features ();
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Xgetbv_Avx512 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Nat64Equal
[@ "opaque_to_smt"]
let va_code_Nat64Equal dst src =
(va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64
18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0)) (va_CNil ())))))
[@ "opaque_to_smt"]
let va_codegen_success_Nat64Equal dst src =
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src)
(va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64
(va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue
()))))
[@"opaque_to_smt"]
let va_lemma_Nat64Equal va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64
src) (va_const_opr64 18446744073709551615) in
let va_b2 = va_tl va_b1 in
let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b3 = va_tl va_b2 in
let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst)
(va_const_opr64 0) in
let va_b4 = va_tl va_b3 in
let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Nat64Equal dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64
src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Comment
[@ "opaque_to_smt"]
let va_code_Comment c =
(mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_Comment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Comment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_Comment) (va_code_Comment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c)
(S.AnnotateComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Comment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- LargeComment
[@ "opaque_to_smt"]
let va_code_LargeComment c =
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
[@ "opaque_to_smt"]
let va_codegen_success_LargeComment c =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_LargeComment va_b0 va_s0 c =
va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c)
(S.AnnotateLargeComment c))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_LargeComment c va_s0 va_k =
let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- NoNewline
[@ "opaque_to_smt"]
let va_code_NoNewline () =
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
[@ "opaque_to_smt"]
let va_codegen_success_NoNewline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_NoNewline va_b0 va_s0 =
va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace
0))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_NoNewline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Newline
[@ "opaque_to_smt"]
let va_code_Newline () =
(mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ())))
[@ "opaque_to_smt"]
let va_codegen_success_Newline () =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Newline va_b0 va_s0 =
va_reveal_opaque (`%va_code_Newline) (va_code_Newline ());
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline
()))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Newline va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Space
[@ "opaque_to_smt"]
let va_code_Space n =
(mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n)))
[@ "opaque_to_smt"]
let va_codegen_success_Space n =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Space va_b0 va_s0 n =
va_reveal_opaque (`%va_code_Space) (va_code_Space n);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace
n))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Space n va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Space (va_code_Space n) va_s0 n in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM va_s0));
va_lemma_norm_mods ([]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Prefetchnta
[@ "opaque_to_smt"]
let va_code_Prefetchnta v =
(mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v))
[@ "opaque_to_smt"]
let va_codegen_success_Prefetchnta v =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Arch.Types.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsBasic.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_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
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 5,
"initial_ifuel": 0,
"max_fuel": 5,
"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": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
v: Vale.X64.Decls.va_operand_opr64
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_opr64",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr_annotate",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_out",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.op64",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Prefetchnta",
"Vale.X64.Machine_Semantics_s.AnnotatePrefetchnta",
"Vale.X64.Instruction_s.InstrTypeRecord",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsBasic.va_code_Prefetchnta"
] | [] | false | false | false | false | false | let va_lemma_Prefetchnta va_b0 va_s0 v =
| va_reveal_opaque (`%va_code_Prefetchnta) (va_code_Prefetchnta v);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v)) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v)) va_s0
in
(va_sM, va_fM) | false |
Steel.ST.GenElim.fst | Steel.ST.GenElim.tele_star_correct | val tele_star_correct (i1 i2: gen_elim_tele)
: GTot (vprop_rewrite ((tele_p i1) `star` (tele_p i2)) (tele_p (i1 `tele_star` i2))) | val tele_star_correct (i1 i2: gen_elim_tele)
: GTot (vprop_rewrite ((tele_p i1) `star` (tele_p i2)) (tele_p (i1 `tele_star` i2))) | let rec tele_star_correct
(i1 i2: gen_elim_tele)
: GTot (vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)))
= match i1 returns vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)) with
| TRet v1 p1 -> tele_star_correct_ret_l v1 p1 i2
| TExists ty1 f1 ->
begin match i2 returns vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p i2) (tele_p (TExists ty1 f1 `tele_star` i2)) with
| TRet v2 p2 -> tele_star_correct_ret_r (TExists ty1 f1) v2 p2
| TExists ty2 f2 -> tele_star_correct_exists ty1 f1 ty2 f2 (fun x1 x2 -> tele_star_correct (f1 x1) (f2 x2))
end | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 7,
"end_line": 242,
"start_col": 0,
"start_line": 233
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2))
let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2)
let gen_elim_t (i: gen_elim_i) : Tot Type =
gen_elim_f (compute_gen_elim_p i) (compute_gen_elim_a i) (compute_gen_elim_q i) (compute_gen_elim_post i)
let compute_gen_elim_f_unit
(i: gen_unit_elim_i)
: GTot (gen_elim_t (GEUnit i))
= compute_gen_unit_elim_f i
let compute_gen_elim_f_star_l
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_unit_elim_i)
: GTot (gen_elim_t (GEStarL i1 i2))
= let f2 = compute_gen_unit_elim_f i2 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarL i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_unit_elim_p i2);
let res = f1 _ in
f2 _;
let res' : compute_gen_elim_a (GEStarL i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_elim_q i1 res `star` compute_gen_unit_elim_q i2) (compute_gen_elim_q (GEStarL i1 i2) res');
res'
let compute_gen_elim_f_star_r
(i1: gen_unit_elim_i)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStarR i1 i2))
= let f1 = compute_gen_unit_elim_f i1 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarR i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_elim_p i2);
f1 _;
let res = f2 _ in
let res' : compute_gen_elim_a (GEStarR i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_elim_q i2 res) (compute_gen_elim_q (GEStarR i1 i2) res');
res'
let compute_gen_elim_f_star
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStar i1 i2))
= fun _ ->
rewrite (compute_gen_elim_p (GEStar i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_elim_p i2);
let res1 = f1 _ in
let res2 = f2 _ in
let res : compute_gen_elim_a (GEStar i1 i2) = coerce_with_trefl (res1, res2) in
rewrite (compute_gen_elim_q i1 res1 `star` compute_gen_elim_q i2 res2) (compute_gen_elim_q (GEStar i1 i2) res);
res
let compute_gen_elim_f_exists_no_abs
(a: Type0)
(body: (a -> vprop))
: GTot (gen_elim_t (GEExistsNoAbs body))
= fun _ ->
rewrite (compute_gen_elim_p (GEExistsNoAbs body)) (exists_ body);
let gres = elim_exists () in
let res : compute_gen_elim_a (GEExistsNoAbs body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (body gres) (compute_gen_elim_q (GEExistsNoAbs body) res);
res
let rewrite_with_trefl (#opened:_) (p q:vprop)
: STGhost unit opened
p
(fun _ -> q)
(requires T.with_tactic T.trefl (p == q))
(ensures fun _ -> True)
= rewrite p q
let compute_gen_elim_f_exists_unit
(a: Type0)
(body: a -> gen_unit_elim_i)
: Tot (gen_elim_t (GEExistsUnit body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExistsUnit body)) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let gres = elim_exists () in
compute_gen_unit_elim_f (body gres) _;
let res : compute_gen_elim_a (GEExistsUnit body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (compute_gen_unit_elim_q (body gres)) (compute_gen_elim_q (GEExistsUnit body) res);
res
let compute_gen_elim_f_exists
(a: Type0)
(body: a -> gen_elim_i)
(f: (x: a) -> GTot (gen_elim_t (body x)))
: Tot (gen_elim_t (GEExists body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExists body)) (exists_ (fun x -> compute_gen_elim_p (body x)));
let gres1 = elim_exists () in
let gres2 = f gres1 _ in
let res : compute_gen_elim_a (GEExists body) = coerce_with_trefl (Mkdtuple2 #a #(fun x -> compute_gen_elim_a (body x)) (Ghost.reveal gres1) (Ghost.reveal gres2)) in
rewrite (compute_gen_elim_q (body gres1) gres2) (compute_gen_elim_q (GEExists body) res);
res
let rec compute_gen_elim_f
(i: gen_elim_i)
: GTot (gen_elim_t i)
= match i returns (gen_elim_t i) with
| GEUnit i -> compute_gen_elim_f_unit i
| GEStarL i1 i2 -> compute_gen_elim_f_star_l i1 (compute_gen_elim_f i1) i2
| GEStarR i1 i2 -> compute_gen_elim_f_star_r i1 i2 (compute_gen_elim_f i2)
| GEStar i1 i2 -> compute_gen_elim_f_star i1 (compute_gen_elim_f i1) i2 (compute_gen_elim_f i2)
| GEExistsNoAbs body -> compute_gen_elim_f_exists_no_abs _ body
| GEExistsUnit body -> compute_gen_elim_f_exists_unit _ body
| GEExists body -> compute_gen_elim_f_exists _ body (fun x -> compute_gen_elim_f (body x))
let rec tele_p (x: gen_elim_tele) : Tot vprop =
match x with
| TRet v p -> v `star` pure p
| TExists ty body -> exists_ (fun x -> tele_p (body x))
let elim_exists' (#a:Type)
(#opened_invariants:_)
(#p:a -> vprop)
(_:unit)
: STGhostT (a) opened_invariants
(exists_ p)
(fun x -> p x)
= let gx = elim_exists () in
let x = Ghost.reveal gx in
rewrite (p gx) (p x);
x
let vprop_rewrite (from to: vprop) : Tot Type =
gen_elim_f from unit (fun _ -> to) (fun _ -> True)
let tele_star_vprop_correct_ret
(v': vprop) (p': prop) (v: vprop) (p: prop)
: Tot (vprop_rewrite (tele_p (TRet v' p') `star` v `star` pure p) (tele_p (tele_star_vprop (TRet v' p') v p)))
= fun _ ->
elim_pure p;
rewrite (tele_p _) (v' `star` pure p');
elim_pure p';
intro_pure (p /\ p');
rewrite ((v `star` v') `star` pure (p /\ p')) (tele_p _)
let tele_star_vprop_correct_exists
(v: vprop) (p: prop)
(ty: _) (body: ty -> gen_elim_tele) (ih: (x: ty) -> GTot (vprop_rewrite (tele_p (body x) `star` v `star` pure p) (tele_p (tele_star_vprop (body x) v p))))
: Tot (vprop_rewrite (tele_p (TExists ty body) `star` v `star` pure p) (tele_p (tele_star_vprop (TExists ty body) v p)))
= fun _ ->
rewrite_with_trefl (tele_p _) (exists_ (fun x -> tele_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (tele_star_vprop (body x) v p));
rewrite_with_trefl (exists_ (fun x -> tele_p (tele_star_vprop (body x) v p))) (tele_p _)
let rec tele_star_vprop_correct
(i: gen_elim_tele) (v: vprop) (p: prop)
: GTot (vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p))
)
= match i returns vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p)) with
| TRet v' p' -> tele_star_vprop_correct_ret v' p' v p
| TExists ty body -> tele_star_vprop_correct_exists v p ty body (fun x -> tele_star_vprop_correct (body x) v p)
let tele_star_correct_ret_l
(v1: vprop) (p1: prop) (i2: gen_elim_tele)
: Tot (vprop_rewrite (tele_p (TRet v1 p1) `star` tele_p i2) (tele_p (TRet v1 p1 `tele_star` i2)))
= fun _ ->
rewrite (tele_p (TRet v1 p1)) (v1 `star` pure p1);
tele_star_vprop_correct i2 v1 p1 _;
rewrite (tele_p _) (tele_p _)
let tele_star_correct_ret_r
(i1: gen_elim_tele { ~ (TRet? i1) }) (v2: vprop) (p2: prop)
: Tot (vprop_rewrite (tele_p i1 `star` tele_p (TRet v2 p2)) (tele_p (i1 `tele_star` TRet v2 p2)))
= fun _ ->
rewrite (tele_p (TRet v2 p2)) (v2 `star` pure p2);
tele_star_vprop_correct i1 v2 p2 _;
rewrite (tele_p _) (tele_p (i1 `tele_star` TRet v2 p2))
let tele_star_correct_exists
(ty1: _) (f1: ty1 -> gen_elim_tele) (ty2: _) (f2: ty2 -> gen_elim_tele)
(ih: (x1: ty1) -> (x2: ty2) -> GTot (vprop_rewrite (tele_p (f1 x1) `star` tele_p (f2 x2)) (tele_p (f1 x1 `tele_star` f2 x2))))
: Tot (vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p (TExists ty2 f2)) (tele_p (tele_star (TExists ty1 f1) (TExists ty2 f2))))
= fun _ ->
rewrite_with_trefl (tele_p (TExists ty1 f1)) (exists_ (fun x1 -> tele_p (f1 x1)));
let x1 = elim_exists' () in
rewrite_with_trefl (tele_p (TExists ty2 f2)) (exists_ (fun x2 -> tele_p (f2 x2)));
let x2 = elim_exists' () in
ih x1 x2 _;
intro_exists x2 (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2)));
intro_exists x1 (fun x1 -> exists_ (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2))));
rewrite_with_trefl (exists_ _) (tele_p _) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | i1: Steel.ST.GenElim.Base.gen_elim_tele -> i2: Steel.ST.GenElim.Base.gen_elim_tele
-> Prims.GTot
(Steel.ST.GenElim.vprop_rewrite (Steel.Effect.Common.star (Steel.ST.GenElim.tele_p i1)
(Steel.ST.GenElim.tele_p i2))
(Steel.ST.GenElim.tele_p (Steel.ST.GenElim.Base.tele_star i1 i2))) | Prims.GTot | [
"sometrivial"
] | [] | [
"Steel.ST.GenElim.Base.gen_elim_tele",
"Steel.ST.GenElim.vprop_rewrite",
"Steel.Effect.Common.star",
"Steel.ST.GenElim.tele_p",
"Steel.ST.GenElim.Base.tele_star",
"Steel.Effect.Common.vprop",
"Prims.prop",
"Steel.ST.GenElim.tele_star_correct_ret_l",
"Steel.ST.GenElim.Base.TExists",
"Steel.ST.GenElim.tele_star_correct_ret_r",
"Steel.ST.GenElim.tele_star_correct_exists",
"Steel.ST.GenElim.tele_star_correct"
] | [
"recursion"
] | false | false | false | false | false | let rec tele_star_correct (i1 i2: gen_elim_tele)
: GTot (vprop_rewrite ((tele_p i1) `star` (tele_p i2)) (tele_p (i1 `tele_star` i2))) =
| match i1 returns vprop_rewrite ((tele_p i1) `star` (tele_p i2)) (tele_p (i1 `tele_star` i2)) with
| TRet v1 p1 -> tele_star_correct_ret_l v1 p1 i2
| TExists ty1 f1 ->
match
i2
returns
vprop_rewrite ((tele_p (TExists ty1 f1)) `star` (tele_p i2))
(tele_p ((TExists ty1 f1) `tele_star` i2))
with
| TRet v2 p2 -> tele_star_correct_ret_r (TExists ty1 f1) v2 p2
| TExists ty2 f2 ->
tele_star_correct_exists ty1 f1 ty2 f2 (fun x1 x2 -> tele_star_correct (f1 x1) (f2 x2)) | false |
Steel.ST.GenElim.fst | Steel.ST.GenElim.compute_gen_elim_tele_correct | val compute_gen_elim_tele_correct (x: gen_elim_i) : GTot (ge_to_tele_t x) | val compute_gen_elim_tele_correct (x: gen_elim_i) : GTot (ge_to_tele_t x) | let rec compute_gen_elim_tele_correct
(x: gen_elim_i)
: GTot (ge_to_tele_t x)
= match x returns ge_to_tele_t x with
| GEUnit v -> compute_gen_elim_tele_correct_unit v
| GEStarL l ru -> compute_gen_elim_tele_correct_star_l l (compute_gen_elim_tele_correct l) ru
| GEStarR lu r -> compute_gen_elim_tele_correct_star_r lu r (compute_gen_elim_tele_correct r)
| GEStar l r -> compute_gen_elim_tele_correct_star l (compute_gen_elim_tele_correct l) r (compute_gen_elim_tele_correct r)
| GEExistsNoAbs #ty body -> compute_gen_elim_tele_correct_exists_no_abs ty body
| GEExistsUnit #ty body -> compute_gen_elim_tele_correct_exists_unit ty body
| GEExists #ty body -> compute_gen_elim_tele_correct_exists ty body (fun x -> compute_gen_elim_tele_correct (body x)) | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 119,
"end_line": 343,
"start_col": 0,
"start_line": 333
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2))
let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2)
let gen_elim_t (i: gen_elim_i) : Tot Type =
gen_elim_f (compute_gen_elim_p i) (compute_gen_elim_a i) (compute_gen_elim_q i) (compute_gen_elim_post i)
let compute_gen_elim_f_unit
(i: gen_unit_elim_i)
: GTot (gen_elim_t (GEUnit i))
= compute_gen_unit_elim_f i
let compute_gen_elim_f_star_l
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_unit_elim_i)
: GTot (gen_elim_t (GEStarL i1 i2))
= let f2 = compute_gen_unit_elim_f i2 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarL i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_unit_elim_p i2);
let res = f1 _ in
f2 _;
let res' : compute_gen_elim_a (GEStarL i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_elim_q i1 res `star` compute_gen_unit_elim_q i2) (compute_gen_elim_q (GEStarL i1 i2) res');
res'
let compute_gen_elim_f_star_r
(i1: gen_unit_elim_i)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStarR i1 i2))
= let f1 = compute_gen_unit_elim_f i1 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarR i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_elim_p i2);
f1 _;
let res = f2 _ in
let res' : compute_gen_elim_a (GEStarR i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_elim_q i2 res) (compute_gen_elim_q (GEStarR i1 i2) res');
res'
let compute_gen_elim_f_star
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStar i1 i2))
= fun _ ->
rewrite (compute_gen_elim_p (GEStar i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_elim_p i2);
let res1 = f1 _ in
let res2 = f2 _ in
let res : compute_gen_elim_a (GEStar i1 i2) = coerce_with_trefl (res1, res2) in
rewrite (compute_gen_elim_q i1 res1 `star` compute_gen_elim_q i2 res2) (compute_gen_elim_q (GEStar i1 i2) res);
res
let compute_gen_elim_f_exists_no_abs
(a: Type0)
(body: (a -> vprop))
: GTot (gen_elim_t (GEExistsNoAbs body))
= fun _ ->
rewrite (compute_gen_elim_p (GEExistsNoAbs body)) (exists_ body);
let gres = elim_exists () in
let res : compute_gen_elim_a (GEExistsNoAbs body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (body gres) (compute_gen_elim_q (GEExistsNoAbs body) res);
res
let rewrite_with_trefl (#opened:_) (p q:vprop)
: STGhost unit opened
p
(fun _ -> q)
(requires T.with_tactic T.trefl (p == q))
(ensures fun _ -> True)
= rewrite p q
let compute_gen_elim_f_exists_unit
(a: Type0)
(body: a -> gen_unit_elim_i)
: Tot (gen_elim_t (GEExistsUnit body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExistsUnit body)) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let gres = elim_exists () in
compute_gen_unit_elim_f (body gres) _;
let res : compute_gen_elim_a (GEExistsUnit body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (compute_gen_unit_elim_q (body gres)) (compute_gen_elim_q (GEExistsUnit body) res);
res
let compute_gen_elim_f_exists
(a: Type0)
(body: a -> gen_elim_i)
(f: (x: a) -> GTot (gen_elim_t (body x)))
: Tot (gen_elim_t (GEExists body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExists body)) (exists_ (fun x -> compute_gen_elim_p (body x)));
let gres1 = elim_exists () in
let gres2 = f gres1 _ in
let res : compute_gen_elim_a (GEExists body) = coerce_with_trefl (Mkdtuple2 #a #(fun x -> compute_gen_elim_a (body x)) (Ghost.reveal gres1) (Ghost.reveal gres2)) in
rewrite (compute_gen_elim_q (body gres1) gres2) (compute_gen_elim_q (GEExists body) res);
res
let rec compute_gen_elim_f
(i: gen_elim_i)
: GTot (gen_elim_t i)
= match i returns (gen_elim_t i) with
| GEUnit i -> compute_gen_elim_f_unit i
| GEStarL i1 i2 -> compute_gen_elim_f_star_l i1 (compute_gen_elim_f i1) i2
| GEStarR i1 i2 -> compute_gen_elim_f_star_r i1 i2 (compute_gen_elim_f i2)
| GEStar i1 i2 -> compute_gen_elim_f_star i1 (compute_gen_elim_f i1) i2 (compute_gen_elim_f i2)
| GEExistsNoAbs body -> compute_gen_elim_f_exists_no_abs _ body
| GEExistsUnit body -> compute_gen_elim_f_exists_unit _ body
| GEExists body -> compute_gen_elim_f_exists _ body (fun x -> compute_gen_elim_f (body x))
let rec tele_p (x: gen_elim_tele) : Tot vprop =
match x with
| TRet v p -> v `star` pure p
| TExists ty body -> exists_ (fun x -> tele_p (body x))
let elim_exists' (#a:Type)
(#opened_invariants:_)
(#p:a -> vprop)
(_:unit)
: STGhostT (a) opened_invariants
(exists_ p)
(fun x -> p x)
= let gx = elim_exists () in
let x = Ghost.reveal gx in
rewrite (p gx) (p x);
x
let vprop_rewrite (from to: vprop) : Tot Type =
gen_elim_f from unit (fun _ -> to) (fun _ -> True)
let tele_star_vprop_correct_ret
(v': vprop) (p': prop) (v: vprop) (p: prop)
: Tot (vprop_rewrite (tele_p (TRet v' p') `star` v `star` pure p) (tele_p (tele_star_vprop (TRet v' p') v p)))
= fun _ ->
elim_pure p;
rewrite (tele_p _) (v' `star` pure p');
elim_pure p';
intro_pure (p /\ p');
rewrite ((v `star` v') `star` pure (p /\ p')) (tele_p _)
let tele_star_vprop_correct_exists
(v: vprop) (p: prop)
(ty: _) (body: ty -> gen_elim_tele) (ih: (x: ty) -> GTot (vprop_rewrite (tele_p (body x) `star` v `star` pure p) (tele_p (tele_star_vprop (body x) v p))))
: Tot (vprop_rewrite (tele_p (TExists ty body) `star` v `star` pure p) (tele_p (tele_star_vprop (TExists ty body) v p)))
= fun _ ->
rewrite_with_trefl (tele_p _) (exists_ (fun x -> tele_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (tele_star_vprop (body x) v p));
rewrite_with_trefl (exists_ (fun x -> tele_p (tele_star_vprop (body x) v p))) (tele_p _)
let rec tele_star_vprop_correct
(i: gen_elim_tele) (v: vprop) (p: prop)
: GTot (vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p))
)
= match i returns vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p)) with
| TRet v' p' -> tele_star_vprop_correct_ret v' p' v p
| TExists ty body -> tele_star_vprop_correct_exists v p ty body (fun x -> tele_star_vprop_correct (body x) v p)
let tele_star_correct_ret_l
(v1: vprop) (p1: prop) (i2: gen_elim_tele)
: Tot (vprop_rewrite (tele_p (TRet v1 p1) `star` tele_p i2) (tele_p (TRet v1 p1 `tele_star` i2)))
= fun _ ->
rewrite (tele_p (TRet v1 p1)) (v1 `star` pure p1);
tele_star_vprop_correct i2 v1 p1 _;
rewrite (tele_p _) (tele_p _)
let tele_star_correct_ret_r
(i1: gen_elim_tele { ~ (TRet? i1) }) (v2: vprop) (p2: prop)
: Tot (vprop_rewrite (tele_p i1 `star` tele_p (TRet v2 p2)) (tele_p (i1 `tele_star` TRet v2 p2)))
= fun _ ->
rewrite (tele_p (TRet v2 p2)) (v2 `star` pure p2);
tele_star_vprop_correct i1 v2 p2 _;
rewrite (tele_p _) (tele_p (i1 `tele_star` TRet v2 p2))
let tele_star_correct_exists
(ty1: _) (f1: ty1 -> gen_elim_tele) (ty2: _) (f2: ty2 -> gen_elim_tele)
(ih: (x1: ty1) -> (x2: ty2) -> GTot (vprop_rewrite (tele_p (f1 x1) `star` tele_p (f2 x2)) (tele_p (f1 x1 `tele_star` f2 x2))))
: Tot (vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p (TExists ty2 f2)) (tele_p (tele_star (TExists ty1 f1) (TExists ty2 f2))))
= fun _ ->
rewrite_with_trefl (tele_p (TExists ty1 f1)) (exists_ (fun x1 -> tele_p (f1 x1)));
let x1 = elim_exists' () in
rewrite_with_trefl (tele_p (TExists ty2 f2)) (exists_ (fun x2 -> tele_p (f2 x2)));
let x2 = elim_exists' () in
ih x1 x2 _;
intro_exists x2 (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2)));
intro_exists x1 (fun x1 -> exists_ (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2))));
rewrite_with_trefl (exists_ _) (tele_p _)
let rec tele_star_correct
(i1 i2: gen_elim_tele)
: GTot (vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)))
= match i1 returns vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)) with
| TRet v1 p1 -> tele_star_correct_ret_l v1 p1 i2
| TExists ty1 f1 ->
begin match i2 returns vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p i2) (tele_p (TExists ty1 f1 `tele_star` i2)) with
| TRet v2 p2 -> tele_star_correct_ret_r (TExists ty1 f1) v2 p2
| TExists ty2 f2 -> tele_star_correct_exists ty1 f1 ty2 f2 (fun x1 x2 -> tele_star_correct (f1 x1) (f2 x2))
end
[@@noextract_to "Plugin" ]
let ge_to_tele_t
(i: gen_elim_i)
: Tot Type
= vprop_rewrite (compute_gen_elim_p i) (tele_p (compute_gen_elim_tele i))
let compute_gen_elim_tele_correct_unit
(v: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEUnit v))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_unit_elim_p v);
compute_gen_unit_elim_f v _;
intro_pure (compute_gen_unit_elim_post v);
rewrite_with_trefl (compute_gen_unit_elim_q v `star` pure _) (tele_p _)
let compute_gen_elim_tele_correct_star_l
(l: gen_elim_i)
(ihl: ge_to_tele_t l)
(ru: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEStarL l ru))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_elim_p l `star` compute_gen_unit_elim_p ru);
ihl _;
compute_gen_unit_elim_f ru _;
intro_pure (compute_gen_unit_elim_post ru);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_star_r
(lu: gen_unit_elim_i)
(r: gen_elim_i)
(ihr: ge_to_tele_t r)
: Tot (ge_to_tele_t (GEStarR lu r))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_unit_elim_p lu `star` compute_gen_elim_p r);
ihr _;
compute_gen_unit_elim_f lu _;
intro_pure (compute_gen_unit_elim_post lu);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_star
(l: gen_elim_i)
(ihl: ge_to_tele_t l)
(r: gen_elim_i)
(ihr: ge_to_tele_t r)
: Tot (ge_to_tele_t (GEStar l r))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_elim_p l `star` compute_gen_elim_p r);
ihl _;
ihr _;
tele_star_correct (compute_gen_elim_tele l) (compute_gen_elim_tele r) _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_exists_no_abs
(ty: _)
(body: ty -> vprop)
: Tot (ge_to_tele_t (GEExistsNoAbs #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ body);
let x = elim_exists' () in
intro_pure True;
intro_exists x (fun x -> body x `star` pure True);
rewrite_with_trefl (exists_ _) (tele_p _)
let compute_gen_elim_tele_correct_exists_unit
(ty: _)
(body: ty -> gen_unit_elim_i)
: Tot (ge_to_tele_t (GEExistsUnit #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let x = elim_exists' () in
compute_gen_unit_elim_f (body x) _;
intro_pure (compute_gen_unit_elim_post (body x));
intro_exists x (fun x -> compute_gen_unit_elim_q (body x) `star` pure (compute_gen_unit_elim_post (body x)));
rewrite_with_trefl (exists_ _) (tele_p _)
let compute_gen_elim_tele_correct_exists
(ty: _)
(body: ty -> gen_elim_i)
(ih: (x: ty) -> GTot (ge_to_tele_t (body x)))
: Tot (ge_to_tele_t (GEExists #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ (fun x -> compute_gen_elim_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (compute_gen_elim_tele (body x)));
rewrite_with_trefl (exists_ _) (tele_p _) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | x: Steel.ST.GenElim.Base.gen_elim_i -> Prims.GTot (Steel.ST.GenElim.ge_to_tele_t x) | Prims.GTot | [
"sometrivial"
] | [] | [
"Steel.ST.GenElim.Base.gen_elim_i",
"Steel.ST.GenElim.ge_to_tele_t",
"Steel.ST.GenElim.Base.gen_unit_elim_i",
"Steel.ST.GenElim.compute_gen_elim_tele_correct_unit",
"Steel.ST.GenElim.compute_gen_elim_tele_correct_star_l",
"Steel.ST.GenElim.compute_gen_elim_tele_correct",
"Steel.ST.GenElim.compute_gen_elim_tele_correct_star_r",
"Steel.ST.GenElim.compute_gen_elim_tele_correct_star",
"Steel.Effect.Common.vprop",
"Steel.ST.GenElim.compute_gen_elim_tele_correct_exists_no_abs",
"Steel.ST.GenElim.compute_gen_elim_tele_correct_exists_unit",
"Steel.ST.GenElim.compute_gen_elim_tele_correct_exists"
] | [
"recursion"
] | false | false | false | false | false | let rec compute_gen_elim_tele_correct (x: gen_elim_i) : GTot (ge_to_tele_t x) =
| match x returns ge_to_tele_t x with
| GEUnit v -> compute_gen_elim_tele_correct_unit v
| GEStarL l ru -> compute_gen_elim_tele_correct_star_l l (compute_gen_elim_tele_correct l) ru
| GEStarR lu r -> compute_gen_elim_tele_correct_star_r lu r (compute_gen_elim_tele_correct r)
| GEStar l r ->
compute_gen_elim_tele_correct_star l
(compute_gen_elim_tele_correct l)
r
(compute_gen_elim_tele_correct r)
| GEExistsNoAbs #ty body -> compute_gen_elim_tele_correct_exists_no_abs ty body
| GEExistsUnit #ty body -> compute_gen_elim_tele_correct_exists_unit ty body
| GEExists #ty body ->
compute_gen_elim_tele_correct_exists ty body (fun x -> compute_gen_elim_tele_correct (body x)) | false |
Hacl.Impl.RSAPSS.MGF.fst | Hacl.Impl.RSAPSS.MGF.hash_len | val hash_len: a:Hash.hash_alg{S.hash_is_supported a} -> Tot (res:size_t{v res == Hash.hash_length a}) | val hash_len: a:Hash.hash_alg{S.hash_is_supported a} -> Tot (res:size_t{v res == Hash.hash_length a}) | let hash_len a =
Hacl.Hash.Definitions.hash_len a | {
"file_name": "code/rsapss/Hacl.Impl.RSAPSS.MGF.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 34,
"end_line": 24,
"start_col": 0,
"start_line": 23
} | module Hacl.Impl.RSAPSS.MGF
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
module ST = FStar.HyperStack.ST
module S = Spec.RSAPSS
module BSeq = Lib.ByteSequence
module LSeq = Lib.Sequence
module Hash = Spec.Agile.Hash
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val hash_len: a:Hash.hash_alg{S.hash_is_supported a} -> Tot (res:size_t{v res == Hash.hash_length a}) | {
"checked_file": "/",
"dependencies": [
"Spec.RSAPSS.fst.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Streaming.SHA2.fst.checked",
"Hacl.Hash.Definitions.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Impl.RSAPSS.MGF.fst"
} | [
{
"abbrev": true,
"full_module": "Spec.Agile.Hash",
"short_module": "Hash"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": true,
"full_module": "Lib.ByteSequence",
"short_module": "BSeq"
},
{
"abbrev": true,
"full_module": "Spec.RSAPSS",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | a: Spec.Hash.Definitions.hash_alg{Spec.RSAPSS.hash_is_supported a}
-> res: Lib.IntTypes.size_t{Lib.IntTypes.v res == Spec.Hash.Definitions.hash_length a} | Prims.Tot | [
"total"
] | [] | [
"Spec.Hash.Definitions.hash_alg",
"Prims.b2t",
"Spec.RSAPSS.hash_is_supported",
"Hacl.Hash.Definitions.hash_len",
"Lib.IntTypes.size_t",
"Prims.eq2",
"Prims.int",
"Prims.l_or",
"Lib.IntTypes.range",
"Lib.IntTypes.U32",
"Prims.l_and",
"Prims.op_GreaterThanOrEqual",
"Prims.op_LessThanOrEqual",
"Lib.IntTypes.max_size_t",
"Prims.op_GreaterThan",
"Lib.IntTypes.v",
"Lib.IntTypes.PUB",
"Spec.Hash.Definitions.hash_length"
] | [] | false | false | false | false | false | let hash_len a =
| Hacl.Hash.Definitions.hash_len a | false |
Steel.ST.GenElim.fst | Steel.ST.GenElim.gen_elim_nondep_sem_correct | val gen_elim_nondep_sem_correct (ty: list Type0)
: Tot
(q: curried_function_type ty vprop -> post: curried_function_type ty prop
-> Lemma ((tele_p (gen_elim_nondep_sem ty q post)) `equiv` (gen_elim_nondep_p ty q post))) | val gen_elim_nondep_sem_correct (ty: list Type0)
: Tot
(q: curried_function_type ty vprop -> post: curried_function_type ty prop
-> Lemma ((tele_p (gen_elim_nondep_sem ty q post)) `equiv` (gen_elim_nondep_p ty q post))) | let rec gen_elim_nondep_sem_correct
(ty: list Type0)
: Tot ((q: curried_function_type ty vprop) -> (post: curried_function_type ty prop) -> Lemma
(tele_p (gen_elim_nondep_sem ty q post) `equiv` gen_elim_nondep_p ty q post)
)
= match ty returns ((q: curried_function_type ty vprop) -> (post: curried_function_type ty prop) -> Lemma
(tele_p (gen_elim_nondep_sem ty q post) `equiv` gen_elim_nondep_p ty q post)
)
with
| [] -> fun q post -> equiv_refl (q `star` pure post)
| ta :: tq -> fun q post ->
let phi
(x: ta)
: Lemma
(tele_p (gen_elim_nondep_sem tq (q x) (post x)) `equiv` gen_elim_nondep_p tq (q x) (post x))
= gen_elim_nondep_sem_correct tq (q x) (post x)
in
Classical.forall_intro phi;
let prf () : Lemma
(exists_ (fun x -> tele_p (gen_elim_nondep_sem tq (q x) (post x))) `equiv` exists_ (fun x -> gen_elim_nondep_p tq (q x) (post x)))
=
exists_equiv (fun x -> tele_p (gen_elim_nondep_sem tq (q x) (post x))) (fun x -> gen_elim_nondep_p tq (q x) (post x))
in
assert_norm (tele_p (gen_elim_nondep_sem (ta :: tq) q post) == exists_ (fun x -> tele_p (gen_elim_nondep_sem tq (q x) (post x))));
assert_norm (gen_elim_nondep_p (ta :: tq) q post == exists_ (fun x -> gen_elim_nondep_p tq (q x) (post x)));
prf () | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 10,
"end_line": 375,
"start_col": 0,
"start_line": 350
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2))
let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2)
let gen_elim_t (i: gen_elim_i) : Tot Type =
gen_elim_f (compute_gen_elim_p i) (compute_gen_elim_a i) (compute_gen_elim_q i) (compute_gen_elim_post i)
let compute_gen_elim_f_unit
(i: gen_unit_elim_i)
: GTot (gen_elim_t (GEUnit i))
= compute_gen_unit_elim_f i
let compute_gen_elim_f_star_l
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_unit_elim_i)
: GTot (gen_elim_t (GEStarL i1 i2))
= let f2 = compute_gen_unit_elim_f i2 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarL i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_unit_elim_p i2);
let res = f1 _ in
f2 _;
let res' : compute_gen_elim_a (GEStarL i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_elim_q i1 res `star` compute_gen_unit_elim_q i2) (compute_gen_elim_q (GEStarL i1 i2) res');
res'
let compute_gen_elim_f_star_r
(i1: gen_unit_elim_i)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStarR i1 i2))
= let f1 = compute_gen_unit_elim_f i1 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarR i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_elim_p i2);
f1 _;
let res = f2 _ in
let res' : compute_gen_elim_a (GEStarR i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_elim_q i2 res) (compute_gen_elim_q (GEStarR i1 i2) res');
res'
let compute_gen_elim_f_star
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStar i1 i2))
= fun _ ->
rewrite (compute_gen_elim_p (GEStar i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_elim_p i2);
let res1 = f1 _ in
let res2 = f2 _ in
let res : compute_gen_elim_a (GEStar i1 i2) = coerce_with_trefl (res1, res2) in
rewrite (compute_gen_elim_q i1 res1 `star` compute_gen_elim_q i2 res2) (compute_gen_elim_q (GEStar i1 i2) res);
res
let compute_gen_elim_f_exists_no_abs
(a: Type0)
(body: (a -> vprop))
: GTot (gen_elim_t (GEExistsNoAbs body))
= fun _ ->
rewrite (compute_gen_elim_p (GEExistsNoAbs body)) (exists_ body);
let gres = elim_exists () in
let res : compute_gen_elim_a (GEExistsNoAbs body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (body gres) (compute_gen_elim_q (GEExistsNoAbs body) res);
res
let rewrite_with_trefl (#opened:_) (p q:vprop)
: STGhost unit opened
p
(fun _ -> q)
(requires T.with_tactic T.trefl (p == q))
(ensures fun _ -> True)
= rewrite p q
let compute_gen_elim_f_exists_unit
(a: Type0)
(body: a -> gen_unit_elim_i)
: Tot (gen_elim_t (GEExistsUnit body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExistsUnit body)) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let gres = elim_exists () in
compute_gen_unit_elim_f (body gres) _;
let res : compute_gen_elim_a (GEExistsUnit body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (compute_gen_unit_elim_q (body gres)) (compute_gen_elim_q (GEExistsUnit body) res);
res
let compute_gen_elim_f_exists
(a: Type0)
(body: a -> gen_elim_i)
(f: (x: a) -> GTot (gen_elim_t (body x)))
: Tot (gen_elim_t (GEExists body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExists body)) (exists_ (fun x -> compute_gen_elim_p (body x)));
let gres1 = elim_exists () in
let gres2 = f gres1 _ in
let res : compute_gen_elim_a (GEExists body) = coerce_with_trefl (Mkdtuple2 #a #(fun x -> compute_gen_elim_a (body x)) (Ghost.reveal gres1) (Ghost.reveal gres2)) in
rewrite (compute_gen_elim_q (body gres1) gres2) (compute_gen_elim_q (GEExists body) res);
res
let rec compute_gen_elim_f
(i: gen_elim_i)
: GTot (gen_elim_t i)
= match i returns (gen_elim_t i) with
| GEUnit i -> compute_gen_elim_f_unit i
| GEStarL i1 i2 -> compute_gen_elim_f_star_l i1 (compute_gen_elim_f i1) i2
| GEStarR i1 i2 -> compute_gen_elim_f_star_r i1 i2 (compute_gen_elim_f i2)
| GEStar i1 i2 -> compute_gen_elim_f_star i1 (compute_gen_elim_f i1) i2 (compute_gen_elim_f i2)
| GEExistsNoAbs body -> compute_gen_elim_f_exists_no_abs _ body
| GEExistsUnit body -> compute_gen_elim_f_exists_unit _ body
| GEExists body -> compute_gen_elim_f_exists _ body (fun x -> compute_gen_elim_f (body x))
let rec tele_p (x: gen_elim_tele) : Tot vprop =
match x with
| TRet v p -> v `star` pure p
| TExists ty body -> exists_ (fun x -> tele_p (body x))
let elim_exists' (#a:Type)
(#opened_invariants:_)
(#p:a -> vprop)
(_:unit)
: STGhostT (a) opened_invariants
(exists_ p)
(fun x -> p x)
= let gx = elim_exists () in
let x = Ghost.reveal gx in
rewrite (p gx) (p x);
x
let vprop_rewrite (from to: vprop) : Tot Type =
gen_elim_f from unit (fun _ -> to) (fun _ -> True)
let tele_star_vprop_correct_ret
(v': vprop) (p': prop) (v: vprop) (p: prop)
: Tot (vprop_rewrite (tele_p (TRet v' p') `star` v `star` pure p) (tele_p (tele_star_vprop (TRet v' p') v p)))
= fun _ ->
elim_pure p;
rewrite (tele_p _) (v' `star` pure p');
elim_pure p';
intro_pure (p /\ p');
rewrite ((v `star` v') `star` pure (p /\ p')) (tele_p _)
let tele_star_vprop_correct_exists
(v: vprop) (p: prop)
(ty: _) (body: ty -> gen_elim_tele) (ih: (x: ty) -> GTot (vprop_rewrite (tele_p (body x) `star` v `star` pure p) (tele_p (tele_star_vprop (body x) v p))))
: Tot (vprop_rewrite (tele_p (TExists ty body) `star` v `star` pure p) (tele_p (tele_star_vprop (TExists ty body) v p)))
= fun _ ->
rewrite_with_trefl (tele_p _) (exists_ (fun x -> tele_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (tele_star_vprop (body x) v p));
rewrite_with_trefl (exists_ (fun x -> tele_p (tele_star_vprop (body x) v p))) (tele_p _)
let rec tele_star_vprop_correct
(i: gen_elim_tele) (v: vprop) (p: prop)
: GTot (vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p))
)
= match i returns vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p)) with
| TRet v' p' -> tele_star_vprop_correct_ret v' p' v p
| TExists ty body -> tele_star_vprop_correct_exists v p ty body (fun x -> tele_star_vprop_correct (body x) v p)
let tele_star_correct_ret_l
(v1: vprop) (p1: prop) (i2: gen_elim_tele)
: Tot (vprop_rewrite (tele_p (TRet v1 p1) `star` tele_p i2) (tele_p (TRet v1 p1 `tele_star` i2)))
= fun _ ->
rewrite (tele_p (TRet v1 p1)) (v1 `star` pure p1);
tele_star_vprop_correct i2 v1 p1 _;
rewrite (tele_p _) (tele_p _)
let tele_star_correct_ret_r
(i1: gen_elim_tele { ~ (TRet? i1) }) (v2: vprop) (p2: prop)
: Tot (vprop_rewrite (tele_p i1 `star` tele_p (TRet v2 p2)) (tele_p (i1 `tele_star` TRet v2 p2)))
= fun _ ->
rewrite (tele_p (TRet v2 p2)) (v2 `star` pure p2);
tele_star_vprop_correct i1 v2 p2 _;
rewrite (tele_p _) (tele_p (i1 `tele_star` TRet v2 p2))
let tele_star_correct_exists
(ty1: _) (f1: ty1 -> gen_elim_tele) (ty2: _) (f2: ty2 -> gen_elim_tele)
(ih: (x1: ty1) -> (x2: ty2) -> GTot (vprop_rewrite (tele_p (f1 x1) `star` tele_p (f2 x2)) (tele_p (f1 x1 `tele_star` f2 x2))))
: Tot (vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p (TExists ty2 f2)) (tele_p (tele_star (TExists ty1 f1) (TExists ty2 f2))))
= fun _ ->
rewrite_with_trefl (tele_p (TExists ty1 f1)) (exists_ (fun x1 -> tele_p (f1 x1)));
let x1 = elim_exists' () in
rewrite_with_trefl (tele_p (TExists ty2 f2)) (exists_ (fun x2 -> tele_p (f2 x2)));
let x2 = elim_exists' () in
ih x1 x2 _;
intro_exists x2 (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2)));
intro_exists x1 (fun x1 -> exists_ (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2))));
rewrite_with_trefl (exists_ _) (tele_p _)
let rec tele_star_correct
(i1 i2: gen_elim_tele)
: GTot (vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)))
= match i1 returns vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)) with
| TRet v1 p1 -> tele_star_correct_ret_l v1 p1 i2
| TExists ty1 f1 ->
begin match i2 returns vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p i2) (tele_p (TExists ty1 f1 `tele_star` i2)) with
| TRet v2 p2 -> tele_star_correct_ret_r (TExists ty1 f1) v2 p2
| TExists ty2 f2 -> tele_star_correct_exists ty1 f1 ty2 f2 (fun x1 x2 -> tele_star_correct (f1 x1) (f2 x2))
end
[@@noextract_to "Plugin" ]
let ge_to_tele_t
(i: gen_elim_i)
: Tot Type
= vprop_rewrite (compute_gen_elim_p i) (tele_p (compute_gen_elim_tele i))
let compute_gen_elim_tele_correct_unit
(v: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEUnit v))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_unit_elim_p v);
compute_gen_unit_elim_f v _;
intro_pure (compute_gen_unit_elim_post v);
rewrite_with_trefl (compute_gen_unit_elim_q v `star` pure _) (tele_p _)
let compute_gen_elim_tele_correct_star_l
(l: gen_elim_i)
(ihl: ge_to_tele_t l)
(ru: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEStarL l ru))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_elim_p l `star` compute_gen_unit_elim_p ru);
ihl _;
compute_gen_unit_elim_f ru _;
intro_pure (compute_gen_unit_elim_post ru);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_star_r
(lu: gen_unit_elim_i)
(r: gen_elim_i)
(ihr: ge_to_tele_t r)
: Tot (ge_to_tele_t (GEStarR lu r))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_unit_elim_p lu `star` compute_gen_elim_p r);
ihr _;
compute_gen_unit_elim_f lu _;
intro_pure (compute_gen_unit_elim_post lu);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_star
(l: gen_elim_i)
(ihl: ge_to_tele_t l)
(r: gen_elim_i)
(ihr: ge_to_tele_t r)
: Tot (ge_to_tele_t (GEStar l r))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_elim_p l `star` compute_gen_elim_p r);
ihl _;
ihr _;
tele_star_correct (compute_gen_elim_tele l) (compute_gen_elim_tele r) _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_exists_no_abs
(ty: _)
(body: ty -> vprop)
: Tot (ge_to_tele_t (GEExistsNoAbs #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ body);
let x = elim_exists' () in
intro_pure True;
intro_exists x (fun x -> body x `star` pure True);
rewrite_with_trefl (exists_ _) (tele_p _)
let compute_gen_elim_tele_correct_exists_unit
(ty: _)
(body: ty -> gen_unit_elim_i)
: Tot (ge_to_tele_t (GEExistsUnit #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let x = elim_exists' () in
compute_gen_unit_elim_f (body x) _;
intro_pure (compute_gen_unit_elim_post (body x));
intro_exists x (fun x -> compute_gen_unit_elim_q (body x) `star` pure (compute_gen_unit_elim_post (body x)));
rewrite_with_trefl (exists_ _) (tele_p _)
let compute_gen_elim_tele_correct_exists
(ty: _)
(body: ty -> gen_elim_i)
(ih: (x: ty) -> GTot (ge_to_tele_t (body x)))
: Tot (ge_to_tele_t (GEExists #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ (fun x -> compute_gen_elim_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (compute_gen_elim_tele (body x)));
rewrite_with_trefl (exists_ _) (tele_p _)
let rec compute_gen_elim_tele_correct
(x: gen_elim_i)
: GTot (ge_to_tele_t x)
= match x returns ge_to_tele_t x with
| GEUnit v -> compute_gen_elim_tele_correct_unit v
| GEStarL l ru -> compute_gen_elim_tele_correct_star_l l (compute_gen_elim_tele_correct l) ru
| GEStarR lu r -> compute_gen_elim_tele_correct_star_r lu r (compute_gen_elim_tele_correct r)
| GEStar l r -> compute_gen_elim_tele_correct_star l (compute_gen_elim_tele_correct l) r (compute_gen_elim_tele_correct r)
| GEExistsNoAbs #ty body -> compute_gen_elim_tele_correct_exists_no_abs ty body
| GEExistsUnit #ty body -> compute_gen_elim_tele_correct_exists_unit ty body
| GEExists #ty body -> compute_gen_elim_tele_correct_exists ty body (fun x -> compute_gen_elim_tele_correct (body x))
let rec gen_elim_nondep_p (ty: list Type0) : Tot (curried_function_type ty vprop -> curried_function_type ty prop -> Tot vprop) =
match ty as ty' returns curried_function_type ty' vprop -> curried_function_type ty' prop -> Tot vprop with
| [] -> fun q post -> q `star` pure post
| t :: tq -> fun q post -> exists_ (fun x -> gen_elim_nondep_p tq (q x) (post x)) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
ty: Prims.list Type0 ->
q: Steel.ST.GenElim.Base.curried_function_type ty Steel.Effect.Common.vprop ->
post: Steel.ST.GenElim.Base.curried_function_type ty Prims.prop
-> FStar.Pervasives.Lemma
(ensures
Steel.Effect.Common.equiv (Steel.ST.GenElim.tele_p (Steel.ST.GenElim.Base.gen_elim_nondep_sem ty
q
post))
(Steel.ST.GenElim.gen_elim_nondep_p ty q post)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Prims.list",
"Steel.ST.GenElim.Base.curried_function_type",
"Steel.Effect.Common.vprop",
"Prims.prop",
"Prims.unit",
"Prims.l_True",
"Prims.squash",
"Steel.Effect.Common.equiv",
"Steel.ST.GenElim.tele_p",
"Steel.ST.GenElim.Base.gen_elim_nondep_sem",
"Steel.ST.GenElim.gen_elim_nondep_p",
"Prims.Nil",
"FStar.Pervasives.pattern",
"Steel.Effect.Common.equiv_refl",
"Steel.Effect.Common.star",
"Steel.ST.Util.pure",
"Prims.Cons",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Steel.ST.Util.exists_",
"Steel.ST.Util.exists_equiv",
"FStar.Classical.forall_intro",
"Steel.ST.GenElim.gen_elim_nondep_sem_correct"
] | [
"recursion"
] | false | false | true | false | false | let rec gen_elim_nondep_sem_correct (ty: list Type0)
: Tot
(q: curried_function_type ty vprop -> post: curried_function_type ty prop
-> Lemma ((tele_p (gen_elim_nondep_sem ty q post)) `equiv` (gen_elim_nondep_p ty q post))) =
| match
ty
returns
(q: curried_function_type ty vprop -> post: curried_function_type ty prop
-> Lemma
((tele_p (gen_elim_nondep_sem ty q post)) `equiv` (gen_elim_nondep_p ty q post)))
with
| [] -> fun q post -> equiv_refl (q `star` (pure post))
| ta :: tq ->
fun q post ->
let phi (x: ta)
: Lemma
((tele_p (gen_elim_nondep_sem tq (q x) (post x)))
`equiv`
(gen_elim_nondep_p tq (q x) (post x))) =
gen_elim_nondep_sem_correct tq (q x) (post x)
in
Classical.forall_intro phi;
let prf ()
: Lemma
((exists_ (fun x -> tele_p (gen_elim_nondep_sem tq (q x) (post x))))
`equiv`
(exists_ (fun x -> gen_elim_nondep_p tq (q x) (post x)))) =
exists_equiv (fun x -> tele_p (gen_elim_nondep_sem tq (q x) (post x)))
(fun x -> gen_elim_nondep_p tq (q x) (post x))
in
assert_norm (tele_p (gen_elim_nondep_sem (ta :: tq) q post) ==
exists_ (fun x -> tele_p (gen_elim_nondep_sem tq (q x) (post x))));
assert_norm (gen_elim_nondep_p (ta :: tq) q post ==
exists_ (fun x -> gen_elim_nondep_p tq (q x) (post x)));
prf () | false |
Hacl.Impl.RSAPSS.MGF.fst | Hacl.Impl.RSAPSS.MGF.mgf_hash_st | val mgf_hash_st : a: Spec.Hash.Definitions.hash_alg{Spec.RSAPSS.hash_is_supported a} -> Type0 | let mgf_hash_st (a:Hash.hash_alg{S.hash_is_supported a}) =
len:size_t{v len + 4 <= max_size_t /\ (v len + 4) `less_than_max_input_length` a}
-> mgfseed:lbuffer uint8 len
-> maskLen:size_t{0 < v maskLen /\ S.blocks (v maskLen) (Hash.hash_length a) * Hash.hash_length a < pow2 32}
-> res:lbuffer uint8 maskLen ->
Stack unit
(requires fun h -> live h mgfseed /\ live h res /\ disjoint res mgfseed)
(ensures fun h0 _ h1 -> modifies (loc res) h0 h1 /\
as_seq h1 res == S.mgf_hash a (v len) (as_seq h0 mgfseed) (v maskLen)) | {
"file_name": "code/rsapss/Hacl.Impl.RSAPSS.MGF.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 74,
"end_line": 105,
"start_col": 0,
"start_line": 97
} | module Hacl.Impl.RSAPSS.MGF
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
module ST = FStar.HyperStack.ST
module S = Spec.RSAPSS
module BSeq = Lib.ByteSequence
module LSeq = Lib.Sequence
module Hash = Spec.Agile.Hash
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val hash_len: a:Hash.hash_alg{S.hash_is_supported a} -> Tot (res:size_t{v res == Hash.hash_length a})
[@CInline]
let hash_len a =
Hacl.Hash.Definitions.hash_len a
inline_for_extraction noextract
let max_input_length = Hash.max_input_length
inline_for_extraction noextract
let less_than_max_input_length = Spec.Hash.Definitions.less_than_max_input_length
val hash:
a:Hash.hash_alg{S.hash_is_supported a}
-> mHash:lbuffer uint8 (hash_len a)
-> msgLen:size_t{v msgLen `less_than_max_input_length` a}
-> msg:lbuffer uint8 msgLen ->
Stack unit
(requires fun h -> live h mHash /\ live h msg /\ disjoint msg mHash)
(ensures fun h0 _ h1 -> modifies (loc mHash) h0 h1 /\
as_seq h1 mHash == Hash.hash a (as_seq h0 msg))
[@CInline]
let hash a mHash msgLen msg =
match a with
| Hash.SHA2_256 -> Hacl.Streaming.SHA2.hash_256 mHash msg msgLen
| Hash.SHA2_384 -> Hacl.Streaming.SHA2.hash_384 mHash msg msgLen
| Hash.SHA2_512 -> Hacl.Streaming.SHA2.hash_512 mHash msg msgLen
(* Mask Generation Function *)
inline_for_extraction noextract
val counter_to_bytes:
i:size_t
-> counter:lbuffer uint8 4ul ->
Stack unit
(requires fun h -> live h counter)
(ensures fun h0 _ h1 -> modifies (loc counter) h0 h1 /\
as_seq h1 counter == BSeq.nat_to_intseq_be 4 (v i))
let counter_to_bytes i c =
let h0 = ST.get () in
c.(0ul) <- to_u8 (i >>. 24ul);
c.(1ul) <- to_u8 (i >>. 16ul);
c.(2ul) <- to_u8 (i >>. 8ul);
c.(3ul) <- to_u8 i;
let h1 = ST.get () in
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 0;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 1;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 2;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 3;
LSeq.eq_intro (as_seq h1 c) (BSeq.nat_to_intseq_be 4 (v i))
inline_for_extraction noextract
val mgf_hash_f:
a:Hash.hash_alg{S.hash_is_supported a}
-> len:size_t{v len + 4 <= max_size_t /\ (v len + 4) `less_than_max_input_length` a}
-> i:size_t
-> mgfseed_counter:lbuffer uint8 (len +! 4ul)
-> block:lbuffer uint8 (hash_len a) ->
Stack unit
(requires fun h -> live h mgfseed_counter /\ live h block /\ disjoint mgfseed_counter block)
(ensures fun h0 _ h1 -> modifies (loc mgfseed_counter |+| loc block) h0 h1 /\
(as_seq h1 mgfseed_counter, as_seq h1 block) == S.mgf_hash_f a (v len) (v i) (as_seq h0 mgfseed_counter))
let mgf_hash_f a len i mgfseed_counter block =
let h0 = ST.get () in
update_sub_f h0 mgfseed_counter len 4ul
(fun h -> BSeq.nat_to_intseq_be 4 (v i))
(fun _ ->
let c = sub mgfseed_counter len 4ul in
counter_to_bytes i c);
hash a block (len +! 4ul) mgfseed_counter | {
"checked_file": "/",
"dependencies": [
"Spec.RSAPSS.fst.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Streaming.SHA2.fst.checked",
"Hacl.Hash.Definitions.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Impl.RSAPSS.MGF.fst"
} | [
{
"abbrev": true,
"full_module": "Spec.Agile.Hash",
"short_module": "Hash"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": true,
"full_module": "Lib.ByteSequence",
"short_module": "BSeq"
},
{
"abbrev": true,
"full_module": "Spec.RSAPSS",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | a: Spec.Hash.Definitions.hash_alg{Spec.RSAPSS.hash_is_supported a} -> Type0 | Prims.Tot | [
"total"
] | [] | [
"Spec.Hash.Definitions.hash_alg",
"Prims.b2t",
"Spec.RSAPSS.hash_is_supported",
"Lib.IntTypes.size_t",
"Prims.l_and",
"Prims.op_LessThanOrEqual",
"Prims.op_Addition",
"Lib.IntTypes.v",
"Lib.IntTypes.U32",
"Lib.IntTypes.PUB",
"Lib.IntTypes.max_size_t",
"Hacl.Impl.RSAPSS.MGF.less_than_max_input_length",
"Lib.Buffer.lbuffer",
"Lib.IntTypes.uint8",
"Prims.op_LessThan",
"FStar.Mul.op_Star",
"Spec.RSAPSS.blocks",
"Spec.Hash.Definitions.hash_length",
"Prims.pow2",
"Prims.unit",
"FStar.Monotonic.HyperStack.mem",
"Lib.Buffer.live",
"Lib.Buffer.MUT",
"Lib.Buffer.disjoint",
"Lib.Buffer.modifies",
"Lib.Buffer.loc",
"Prims.eq2",
"Lib.Sequence.lseq",
"Lib.Buffer.as_seq",
"Spec.RSAPSS.mgf_hash"
] | [] | false | false | false | false | true | let mgf_hash_st (a: Hash.hash_alg{S.hash_is_supported a}) =
|
len: size_t{v len + 4 <= max_size_t /\ (v len + 4) `less_than_max_input_length` a} ->
mgfseed: lbuffer uint8 len ->
maskLen:
size_t
{0 < v maskLen /\ S.blocks (v maskLen) (Hash.hash_length a) * Hash.hash_length a < pow2 32} ->
res: lbuffer uint8 maskLen
-> Stack unit
(requires fun h -> live h mgfseed /\ live h res /\ disjoint res mgfseed)
(ensures
fun h0 _ h1 ->
modifies (loc res) h0 h1 /\
as_seq h1 res == S.mgf_hash a (v len) (as_seq h0 mgfseed) (v maskLen)) | false |
|
Steel.ST.GenElim.fst | Steel.ST.GenElim.gen_elim_nondep_p | val gen_elim_nondep_p (ty: list Type0)
: Tot (curried_function_type ty vprop -> curried_function_type ty prop -> Tot vprop) | val gen_elim_nondep_p (ty: list Type0)
: Tot (curried_function_type ty vprop -> curried_function_type ty prop -> Tot vprop) | let rec gen_elim_nondep_p (ty: list Type0) : Tot (curried_function_type ty vprop -> curried_function_type ty prop -> Tot vprop) =
match ty as ty' returns curried_function_type ty' vprop -> curried_function_type ty' prop -> Tot vprop with
| [] -> fun q post -> q `star` pure post
| t :: tq -> fun q post -> exists_ (fun x -> gen_elim_nondep_p tq (q x) (post x)) | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 83,
"end_line": 348,
"start_col": 0,
"start_line": 345
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2))
let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2)
let gen_elim_t (i: gen_elim_i) : Tot Type =
gen_elim_f (compute_gen_elim_p i) (compute_gen_elim_a i) (compute_gen_elim_q i) (compute_gen_elim_post i)
let compute_gen_elim_f_unit
(i: gen_unit_elim_i)
: GTot (gen_elim_t (GEUnit i))
= compute_gen_unit_elim_f i
let compute_gen_elim_f_star_l
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_unit_elim_i)
: GTot (gen_elim_t (GEStarL i1 i2))
= let f2 = compute_gen_unit_elim_f i2 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarL i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_unit_elim_p i2);
let res = f1 _ in
f2 _;
let res' : compute_gen_elim_a (GEStarL i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_elim_q i1 res `star` compute_gen_unit_elim_q i2) (compute_gen_elim_q (GEStarL i1 i2) res');
res'
let compute_gen_elim_f_star_r
(i1: gen_unit_elim_i)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStarR i1 i2))
= let f1 = compute_gen_unit_elim_f i1 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarR i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_elim_p i2);
f1 _;
let res = f2 _ in
let res' : compute_gen_elim_a (GEStarR i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_elim_q i2 res) (compute_gen_elim_q (GEStarR i1 i2) res');
res'
let compute_gen_elim_f_star
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStar i1 i2))
= fun _ ->
rewrite (compute_gen_elim_p (GEStar i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_elim_p i2);
let res1 = f1 _ in
let res2 = f2 _ in
let res : compute_gen_elim_a (GEStar i1 i2) = coerce_with_trefl (res1, res2) in
rewrite (compute_gen_elim_q i1 res1 `star` compute_gen_elim_q i2 res2) (compute_gen_elim_q (GEStar i1 i2) res);
res
let compute_gen_elim_f_exists_no_abs
(a: Type0)
(body: (a -> vprop))
: GTot (gen_elim_t (GEExistsNoAbs body))
= fun _ ->
rewrite (compute_gen_elim_p (GEExistsNoAbs body)) (exists_ body);
let gres = elim_exists () in
let res : compute_gen_elim_a (GEExistsNoAbs body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (body gres) (compute_gen_elim_q (GEExistsNoAbs body) res);
res
let rewrite_with_trefl (#opened:_) (p q:vprop)
: STGhost unit opened
p
(fun _ -> q)
(requires T.with_tactic T.trefl (p == q))
(ensures fun _ -> True)
= rewrite p q
let compute_gen_elim_f_exists_unit
(a: Type0)
(body: a -> gen_unit_elim_i)
: Tot (gen_elim_t (GEExistsUnit body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExistsUnit body)) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let gres = elim_exists () in
compute_gen_unit_elim_f (body gres) _;
let res : compute_gen_elim_a (GEExistsUnit body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (compute_gen_unit_elim_q (body gres)) (compute_gen_elim_q (GEExistsUnit body) res);
res
let compute_gen_elim_f_exists
(a: Type0)
(body: a -> gen_elim_i)
(f: (x: a) -> GTot (gen_elim_t (body x)))
: Tot (gen_elim_t (GEExists body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExists body)) (exists_ (fun x -> compute_gen_elim_p (body x)));
let gres1 = elim_exists () in
let gres2 = f gres1 _ in
let res : compute_gen_elim_a (GEExists body) = coerce_with_trefl (Mkdtuple2 #a #(fun x -> compute_gen_elim_a (body x)) (Ghost.reveal gres1) (Ghost.reveal gres2)) in
rewrite (compute_gen_elim_q (body gres1) gres2) (compute_gen_elim_q (GEExists body) res);
res
let rec compute_gen_elim_f
(i: gen_elim_i)
: GTot (gen_elim_t i)
= match i returns (gen_elim_t i) with
| GEUnit i -> compute_gen_elim_f_unit i
| GEStarL i1 i2 -> compute_gen_elim_f_star_l i1 (compute_gen_elim_f i1) i2
| GEStarR i1 i2 -> compute_gen_elim_f_star_r i1 i2 (compute_gen_elim_f i2)
| GEStar i1 i2 -> compute_gen_elim_f_star i1 (compute_gen_elim_f i1) i2 (compute_gen_elim_f i2)
| GEExistsNoAbs body -> compute_gen_elim_f_exists_no_abs _ body
| GEExistsUnit body -> compute_gen_elim_f_exists_unit _ body
| GEExists body -> compute_gen_elim_f_exists _ body (fun x -> compute_gen_elim_f (body x))
let rec tele_p (x: gen_elim_tele) : Tot vprop =
match x with
| TRet v p -> v `star` pure p
| TExists ty body -> exists_ (fun x -> tele_p (body x))
let elim_exists' (#a:Type)
(#opened_invariants:_)
(#p:a -> vprop)
(_:unit)
: STGhostT (a) opened_invariants
(exists_ p)
(fun x -> p x)
= let gx = elim_exists () in
let x = Ghost.reveal gx in
rewrite (p gx) (p x);
x
let vprop_rewrite (from to: vprop) : Tot Type =
gen_elim_f from unit (fun _ -> to) (fun _ -> True)
let tele_star_vprop_correct_ret
(v': vprop) (p': prop) (v: vprop) (p: prop)
: Tot (vprop_rewrite (tele_p (TRet v' p') `star` v `star` pure p) (tele_p (tele_star_vprop (TRet v' p') v p)))
= fun _ ->
elim_pure p;
rewrite (tele_p _) (v' `star` pure p');
elim_pure p';
intro_pure (p /\ p');
rewrite ((v `star` v') `star` pure (p /\ p')) (tele_p _)
let tele_star_vprop_correct_exists
(v: vprop) (p: prop)
(ty: _) (body: ty -> gen_elim_tele) (ih: (x: ty) -> GTot (vprop_rewrite (tele_p (body x) `star` v `star` pure p) (tele_p (tele_star_vprop (body x) v p))))
: Tot (vprop_rewrite (tele_p (TExists ty body) `star` v `star` pure p) (tele_p (tele_star_vprop (TExists ty body) v p)))
= fun _ ->
rewrite_with_trefl (tele_p _) (exists_ (fun x -> tele_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (tele_star_vprop (body x) v p));
rewrite_with_trefl (exists_ (fun x -> tele_p (tele_star_vprop (body x) v p))) (tele_p _)
let rec tele_star_vprop_correct
(i: gen_elim_tele) (v: vprop) (p: prop)
: GTot (vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p))
)
= match i returns vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p)) with
| TRet v' p' -> tele_star_vprop_correct_ret v' p' v p
| TExists ty body -> tele_star_vprop_correct_exists v p ty body (fun x -> tele_star_vprop_correct (body x) v p)
let tele_star_correct_ret_l
(v1: vprop) (p1: prop) (i2: gen_elim_tele)
: Tot (vprop_rewrite (tele_p (TRet v1 p1) `star` tele_p i2) (tele_p (TRet v1 p1 `tele_star` i2)))
= fun _ ->
rewrite (tele_p (TRet v1 p1)) (v1 `star` pure p1);
tele_star_vprop_correct i2 v1 p1 _;
rewrite (tele_p _) (tele_p _)
let tele_star_correct_ret_r
(i1: gen_elim_tele { ~ (TRet? i1) }) (v2: vprop) (p2: prop)
: Tot (vprop_rewrite (tele_p i1 `star` tele_p (TRet v2 p2)) (tele_p (i1 `tele_star` TRet v2 p2)))
= fun _ ->
rewrite (tele_p (TRet v2 p2)) (v2 `star` pure p2);
tele_star_vprop_correct i1 v2 p2 _;
rewrite (tele_p _) (tele_p (i1 `tele_star` TRet v2 p2))
let tele_star_correct_exists
(ty1: _) (f1: ty1 -> gen_elim_tele) (ty2: _) (f2: ty2 -> gen_elim_tele)
(ih: (x1: ty1) -> (x2: ty2) -> GTot (vprop_rewrite (tele_p (f1 x1) `star` tele_p (f2 x2)) (tele_p (f1 x1 `tele_star` f2 x2))))
: Tot (vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p (TExists ty2 f2)) (tele_p (tele_star (TExists ty1 f1) (TExists ty2 f2))))
= fun _ ->
rewrite_with_trefl (tele_p (TExists ty1 f1)) (exists_ (fun x1 -> tele_p (f1 x1)));
let x1 = elim_exists' () in
rewrite_with_trefl (tele_p (TExists ty2 f2)) (exists_ (fun x2 -> tele_p (f2 x2)));
let x2 = elim_exists' () in
ih x1 x2 _;
intro_exists x2 (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2)));
intro_exists x1 (fun x1 -> exists_ (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2))));
rewrite_with_trefl (exists_ _) (tele_p _)
let rec tele_star_correct
(i1 i2: gen_elim_tele)
: GTot (vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)))
= match i1 returns vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)) with
| TRet v1 p1 -> tele_star_correct_ret_l v1 p1 i2
| TExists ty1 f1 ->
begin match i2 returns vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p i2) (tele_p (TExists ty1 f1 `tele_star` i2)) with
| TRet v2 p2 -> tele_star_correct_ret_r (TExists ty1 f1) v2 p2
| TExists ty2 f2 -> tele_star_correct_exists ty1 f1 ty2 f2 (fun x1 x2 -> tele_star_correct (f1 x1) (f2 x2))
end
[@@noextract_to "Plugin" ]
let ge_to_tele_t
(i: gen_elim_i)
: Tot Type
= vprop_rewrite (compute_gen_elim_p i) (tele_p (compute_gen_elim_tele i))
let compute_gen_elim_tele_correct_unit
(v: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEUnit v))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_unit_elim_p v);
compute_gen_unit_elim_f v _;
intro_pure (compute_gen_unit_elim_post v);
rewrite_with_trefl (compute_gen_unit_elim_q v `star` pure _) (tele_p _)
let compute_gen_elim_tele_correct_star_l
(l: gen_elim_i)
(ihl: ge_to_tele_t l)
(ru: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEStarL l ru))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_elim_p l `star` compute_gen_unit_elim_p ru);
ihl _;
compute_gen_unit_elim_f ru _;
intro_pure (compute_gen_unit_elim_post ru);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_star_r
(lu: gen_unit_elim_i)
(r: gen_elim_i)
(ihr: ge_to_tele_t r)
: Tot (ge_to_tele_t (GEStarR lu r))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_unit_elim_p lu `star` compute_gen_elim_p r);
ihr _;
compute_gen_unit_elim_f lu _;
intro_pure (compute_gen_unit_elim_post lu);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_star
(l: gen_elim_i)
(ihl: ge_to_tele_t l)
(r: gen_elim_i)
(ihr: ge_to_tele_t r)
: Tot (ge_to_tele_t (GEStar l r))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_elim_p l `star` compute_gen_elim_p r);
ihl _;
ihr _;
tele_star_correct (compute_gen_elim_tele l) (compute_gen_elim_tele r) _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_exists_no_abs
(ty: _)
(body: ty -> vprop)
: Tot (ge_to_tele_t (GEExistsNoAbs #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ body);
let x = elim_exists' () in
intro_pure True;
intro_exists x (fun x -> body x `star` pure True);
rewrite_with_trefl (exists_ _) (tele_p _)
let compute_gen_elim_tele_correct_exists_unit
(ty: _)
(body: ty -> gen_unit_elim_i)
: Tot (ge_to_tele_t (GEExistsUnit #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let x = elim_exists' () in
compute_gen_unit_elim_f (body x) _;
intro_pure (compute_gen_unit_elim_post (body x));
intro_exists x (fun x -> compute_gen_unit_elim_q (body x) `star` pure (compute_gen_unit_elim_post (body x)));
rewrite_with_trefl (exists_ _) (tele_p _)
let compute_gen_elim_tele_correct_exists
(ty: _)
(body: ty -> gen_elim_i)
(ih: (x: ty) -> GTot (ge_to_tele_t (body x)))
: Tot (ge_to_tele_t (GEExists #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ (fun x -> compute_gen_elim_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (compute_gen_elim_tele (body x)));
rewrite_with_trefl (exists_ _) (tele_p _)
let rec compute_gen_elim_tele_correct
(x: gen_elim_i)
: GTot (ge_to_tele_t x)
= match x returns ge_to_tele_t x with
| GEUnit v -> compute_gen_elim_tele_correct_unit v
| GEStarL l ru -> compute_gen_elim_tele_correct_star_l l (compute_gen_elim_tele_correct l) ru
| GEStarR lu r -> compute_gen_elim_tele_correct_star_r lu r (compute_gen_elim_tele_correct r)
| GEStar l r -> compute_gen_elim_tele_correct_star l (compute_gen_elim_tele_correct l) r (compute_gen_elim_tele_correct r)
| GEExistsNoAbs #ty body -> compute_gen_elim_tele_correct_exists_no_abs ty body
| GEExistsUnit #ty body -> compute_gen_elim_tele_correct_exists_unit ty body
| GEExists #ty body -> compute_gen_elim_tele_correct_exists ty body (fun x -> compute_gen_elim_tele_correct (body x)) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
ty: Prims.list Type0 ->
_: Steel.ST.GenElim.Base.curried_function_type ty Steel.Effect.Common.vprop ->
_: Steel.ST.GenElim.Base.curried_function_type ty Prims.prop
-> Steel.Effect.Common.vprop | Prims.Tot | [
"total"
] | [] | [
"Prims.list",
"Steel.ST.GenElim.Base.curried_function_type",
"Steel.Effect.Common.vprop",
"Prims.prop",
"Prims.Nil",
"Steel.Effect.Common.star",
"Steel.ST.Util.pure",
"Prims.Cons",
"Steel.ST.Util.exists_",
"Steel.ST.GenElim.gen_elim_nondep_p"
] | [
"recursion"
] | false | false | false | false | false | let rec gen_elim_nondep_p (ty: list Type0)
: Tot (curried_function_type ty vprop -> curried_function_type ty prop -> Tot vprop) =
| match
ty as ty' returns curried_function_type ty' vprop -> curried_function_type ty' prop -> Tot vprop
with
| [] -> fun q post -> q `star` (pure post)
| t :: tq -> fun q post -> exists_ (fun x -> gen_elim_nondep_p tq (q x) (post x)) | false |
Steel.ST.GenElim.fst | Steel.ST.GenElim.compute_gen_unit_elim_f_id | val compute_gen_unit_elim_f_id (v: vprop) : Tot (gen_unit_elim_t (GUEId v)) | val compute_gen_unit_elim_f_id (v: vprop) : Tot (gen_unit_elim_t (GUEId v)) | let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop () | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 18,
"end_line": 17,
"start_col": 0,
"start_line": 14
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | v: Steel.Effect.Common.vprop -> Steel.ST.GenElim.gen_unit_elim_t (Steel.ST.GenElim.Base.GUEId v) | Prims.Tot | [
"total"
] | [] | [
"Steel.Effect.Common.vprop",
"Steel.Memory.inames",
"Steel.ST.Util.noop",
"Prims.unit",
"Steel.ST.GenElim.gen_unit_elim_t",
"Steel.ST.GenElim.Base.GUEId"
] | [] | false | false | false | false | false | let compute_gen_unit_elim_f_id (v: vprop) : Tot (gen_unit_elim_t (GUEId v)) =
| fun _ -> noop () | false |
Bane.Lib.fst | Bane.Lib.repeat_or_fail | val repeat_or_fail (t: (unit -> Tac unit)) : Tac unit | val repeat_or_fail (t: (unit -> Tac unit)) : Tac unit | let rec repeat_or_fail (t : unit -> Tac unit) : Tac unit =
match trytac t with
| None -> fail "Cannot apply t any more"
| Some x -> repeat_or_fail t | {
"file_name": "examples/tactics/Bane.Lib.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 33,
"end_line": 35,
"start_col": 0,
"start_line": 32
} | (*
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 Bane.Lib
open FStar.Tactics.V2
(* To understand the naming convention on this file, please refer to
* https://www.youtube.com/watch?v=w9wi0cPrU4U *)
val big_phi : int -> Tac unit
let rec big_phi (n : int) =
if n = 0
then exact (`True)
else begin
apply (`l_and);
big_phi (n - 1);
big_phi (n - 1)
end
let for_you : Type0 = synth_by_tactic (fun () -> big_phi 8) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Bane.Lib.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Bane",
"short_module": null
},
{
"abbrev": false,
"full_module": "Bane",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | t: (_: Prims.unit -> FStar.Tactics.Effect.Tac Prims.unit) -> FStar.Tactics.Effect.Tac Prims.unit | FStar.Tactics.Effect.Tac | [] | [] | [
"Prims.unit",
"FStar.Tactics.V2.Derived.fail",
"Bane.Lib.repeat_or_fail",
"FStar.Pervasives.Native.option",
"FStar.Tactics.V2.Derived.trytac"
] | [
"recursion"
] | false | true | false | false | false | let rec repeat_or_fail (t: (unit -> Tac unit)) : Tac unit =
| match trytac t with
| None -> fail "Cannot apply t any more"
| Some x -> repeat_or_fail t | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.op_At | val op_At : x: Prims.list _ -> y: Prims.list _ -> Prims.list _ | let (@) = L.op_At | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 33,
"start_col": 0,
"start_line": 33
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ()) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | x: Prims.list _ -> y: Prims.list _ -> Prims.list _ | Prims.Tot | [
"total"
] | [] | [
"FStar.List.Tot.Base.op_At",
"Prims.list"
] | [] | false | false | false | true | false | <UNK> | <UNK> | false |
|
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.debug | val debug (f: (unit -> Tac string)) : Tac unit | val debug (f: (unit -> Tac string)) : Tac unit | let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ()) | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 16,
"end_line": 30,
"start_col": 0,
"start_line": 28
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | f: (_: Prims.unit -> FStar.Tactics.Effect.Tac Prims.string) -> FStar.Tactics.Effect.Tac Prims.unit | FStar.Tactics.Effect.Tac | [] | [] | [
"Prims.unit",
"Prims.string",
"FStar.Stubs.Tactics.V2.Builtins.print",
"Prims.bool",
"FStar.Stubs.Tactics.V2.Builtins.debugging"
] | [] | false | true | false | false | false | let debug (f: (unit -> Tac string)) : Tac unit =
| if debugging () then print (f ()) | false |
Hacl.Impl.RSAPSS.MGF.fst | Hacl.Impl.RSAPSS.MGF.hash | val hash:
a:Hash.hash_alg{S.hash_is_supported a}
-> mHash:lbuffer uint8 (hash_len a)
-> msgLen:size_t{v msgLen `less_than_max_input_length` a}
-> msg:lbuffer uint8 msgLen ->
Stack unit
(requires fun h -> live h mHash /\ live h msg /\ disjoint msg mHash)
(ensures fun h0 _ h1 -> modifies (loc mHash) h0 h1 /\
as_seq h1 mHash == Hash.hash a (as_seq h0 msg)) | val hash:
a:Hash.hash_alg{S.hash_is_supported a}
-> mHash:lbuffer uint8 (hash_len a)
-> msgLen:size_t{v msgLen `less_than_max_input_length` a}
-> msg:lbuffer uint8 msgLen ->
Stack unit
(requires fun h -> live h mHash /\ live h msg /\ disjoint msg mHash)
(ensures fun h0 _ h1 -> modifies (loc mHash) h0 h1 /\
as_seq h1 mHash == Hash.hash a (as_seq h0 msg)) | let hash a mHash msgLen msg =
match a with
| Hash.SHA2_256 -> Hacl.Streaming.SHA2.hash_256 mHash msg msgLen
| Hash.SHA2_384 -> Hacl.Streaming.SHA2.hash_384 mHash msg msgLen
| Hash.SHA2_512 -> Hacl.Streaming.SHA2.hash_512 mHash msg msgLen | {
"file_name": "code/rsapss/Hacl.Impl.RSAPSS.MGF.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 66,
"end_line": 47,
"start_col": 0,
"start_line": 43
} | module Hacl.Impl.RSAPSS.MGF
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
module ST = FStar.HyperStack.ST
module S = Spec.RSAPSS
module BSeq = Lib.ByteSequence
module LSeq = Lib.Sequence
module Hash = Spec.Agile.Hash
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val hash_len: a:Hash.hash_alg{S.hash_is_supported a} -> Tot (res:size_t{v res == Hash.hash_length a})
[@CInline]
let hash_len a =
Hacl.Hash.Definitions.hash_len a
inline_for_extraction noextract
let max_input_length = Hash.max_input_length
inline_for_extraction noextract
let less_than_max_input_length = Spec.Hash.Definitions.less_than_max_input_length
val hash:
a:Hash.hash_alg{S.hash_is_supported a}
-> mHash:lbuffer uint8 (hash_len a)
-> msgLen:size_t{v msgLen `less_than_max_input_length` a}
-> msg:lbuffer uint8 msgLen ->
Stack unit
(requires fun h -> live h mHash /\ live h msg /\ disjoint msg mHash)
(ensures fun h0 _ h1 -> modifies (loc mHash) h0 h1 /\
as_seq h1 mHash == Hash.hash a (as_seq h0 msg)) | {
"checked_file": "/",
"dependencies": [
"Spec.RSAPSS.fst.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Streaming.SHA2.fst.checked",
"Hacl.Hash.Definitions.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Impl.RSAPSS.MGF.fst"
} | [
{
"abbrev": true,
"full_module": "Spec.Agile.Hash",
"short_module": "Hash"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": true,
"full_module": "Lib.ByteSequence",
"short_module": "BSeq"
},
{
"abbrev": true,
"full_module": "Spec.RSAPSS",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
a: Spec.Hash.Definitions.hash_alg{Spec.RSAPSS.hash_is_supported a} ->
mHash: Lib.Buffer.lbuffer Lib.IntTypes.uint8 (Hacl.Impl.RSAPSS.MGF.hash_len a) ->
msgLen:
Lib.IntTypes.size_t{Hacl.Impl.RSAPSS.MGF.less_than_max_input_length (Lib.IntTypes.v msgLen) a} ->
msg: Lib.Buffer.lbuffer Lib.IntTypes.uint8 msgLen
-> FStar.HyperStack.ST.Stack Prims.unit | FStar.HyperStack.ST.Stack | [] | [] | [
"Spec.Hash.Definitions.hash_alg",
"Prims.b2t",
"Spec.RSAPSS.hash_is_supported",
"Lib.Buffer.lbuffer",
"Lib.IntTypes.uint8",
"Hacl.Impl.RSAPSS.MGF.hash_len",
"Lib.IntTypes.size_t",
"Hacl.Impl.RSAPSS.MGF.less_than_max_input_length",
"Lib.IntTypes.v",
"Lib.IntTypes.U32",
"Lib.IntTypes.PUB",
"Hacl.Streaming.SHA2.hash_256",
"Prims.unit",
"Hacl.Streaming.SHA2.hash_384",
"Hacl.Streaming.SHA2.hash_512"
] | [] | false | true | false | false | false | let hash a mHash msgLen msg =
| match a with
| Hash.SHA2_256 -> Hacl.Streaming.SHA2.hash_256 mHash msg msgLen
| Hash.SHA2_384 -> Hacl.Streaming.SHA2.hash_384 mHash msg msgLen
| Hash.SHA2_512 -> Hacl.Streaming.SHA2.hash_512 mHash msg msgLen | false |
Steel.ST.GenElim.fst | Steel.ST.GenElim.coerce_with_smt | val coerce_with_smt (#tfrom #tto: Type) (x: tfrom)
: Pure tto (requires ((tfrom == tto))) (ensures (fun _ -> True)) | val coerce_with_smt (#tfrom #tto: Type) (x: tfrom)
: Pure tto (requires ((tfrom == tto))) (ensures (fun _ -> True)) | let coerce_with_smt (#tfrom #tto: Type) (x: tfrom) : Pure tto (requires ( (tfrom == tto))) (ensures (fun _ -> True)) = x | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 120,
"end_line": 744,
"start_col": 0,
"start_line": 744
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2))
let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2)
let gen_elim_t (i: gen_elim_i) : Tot Type =
gen_elim_f (compute_gen_elim_p i) (compute_gen_elim_a i) (compute_gen_elim_q i) (compute_gen_elim_post i)
let compute_gen_elim_f_unit
(i: gen_unit_elim_i)
: GTot (gen_elim_t (GEUnit i))
= compute_gen_unit_elim_f i
let compute_gen_elim_f_star_l
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_unit_elim_i)
: GTot (gen_elim_t (GEStarL i1 i2))
= let f2 = compute_gen_unit_elim_f i2 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarL i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_unit_elim_p i2);
let res = f1 _ in
f2 _;
let res' : compute_gen_elim_a (GEStarL i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_elim_q i1 res `star` compute_gen_unit_elim_q i2) (compute_gen_elim_q (GEStarL i1 i2) res');
res'
let compute_gen_elim_f_star_r
(i1: gen_unit_elim_i)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStarR i1 i2))
= let f1 = compute_gen_unit_elim_f i1 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarR i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_elim_p i2);
f1 _;
let res = f2 _ in
let res' : compute_gen_elim_a (GEStarR i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_elim_q i2 res) (compute_gen_elim_q (GEStarR i1 i2) res');
res'
let compute_gen_elim_f_star
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStar i1 i2))
= fun _ ->
rewrite (compute_gen_elim_p (GEStar i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_elim_p i2);
let res1 = f1 _ in
let res2 = f2 _ in
let res : compute_gen_elim_a (GEStar i1 i2) = coerce_with_trefl (res1, res2) in
rewrite (compute_gen_elim_q i1 res1 `star` compute_gen_elim_q i2 res2) (compute_gen_elim_q (GEStar i1 i2) res);
res
let compute_gen_elim_f_exists_no_abs
(a: Type0)
(body: (a -> vprop))
: GTot (gen_elim_t (GEExistsNoAbs body))
= fun _ ->
rewrite (compute_gen_elim_p (GEExistsNoAbs body)) (exists_ body);
let gres = elim_exists () in
let res : compute_gen_elim_a (GEExistsNoAbs body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (body gres) (compute_gen_elim_q (GEExistsNoAbs body) res);
res
let rewrite_with_trefl (#opened:_) (p q:vprop)
: STGhost unit opened
p
(fun _ -> q)
(requires T.with_tactic T.trefl (p == q))
(ensures fun _ -> True)
= rewrite p q
let compute_gen_elim_f_exists_unit
(a: Type0)
(body: a -> gen_unit_elim_i)
: Tot (gen_elim_t (GEExistsUnit body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExistsUnit body)) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let gres = elim_exists () in
compute_gen_unit_elim_f (body gres) _;
let res : compute_gen_elim_a (GEExistsUnit body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (compute_gen_unit_elim_q (body gres)) (compute_gen_elim_q (GEExistsUnit body) res);
res
let compute_gen_elim_f_exists
(a: Type0)
(body: a -> gen_elim_i)
(f: (x: a) -> GTot (gen_elim_t (body x)))
: Tot (gen_elim_t (GEExists body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExists body)) (exists_ (fun x -> compute_gen_elim_p (body x)));
let gres1 = elim_exists () in
let gres2 = f gres1 _ in
let res : compute_gen_elim_a (GEExists body) = coerce_with_trefl (Mkdtuple2 #a #(fun x -> compute_gen_elim_a (body x)) (Ghost.reveal gres1) (Ghost.reveal gres2)) in
rewrite (compute_gen_elim_q (body gres1) gres2) (compute_gen_elim_q (GEExists body) res);
res
let rec compute_gen_elim_f
(i: gen_elim_i)
: GTot (gen_elim_t i)
= match i returns (gen_elim_t i) with
| GEUnit i -> compute_gen_elim_f_unit i
| GEStarL i1 i2 -> compute_gen_elim_f_star_l i1 (compute_gen_elim_f i1) i2
| GEStarR i1 i2 -> compute_gen_elim_f_star_r i1 i2 (compute_gen_elim_f i2)
| GEStar i1 i2 -> compute_gen_elim_f_star i1 (compute_gen_elim_f i1) i2 (compute_gen_elim_f i2)
| GEExistsNoAbs body -> compute_gen_elim_f_exists_no_abs _ body
| GEExistsUnit body -> compute_gen_elim_f_exists_unit _ body
| GEExists body -> compute_gen_elim_f_exists _ body (fun x -> compute_gen_elim_f (body x))
let rec tele_p (x: gen_elim_tele) : Tot vprop =
match x with
| TRet v p -> v `star` pure p
| TExists ty body -> exists_ (fun x -> tele_p (body x))
let elim_exists' (#a:Type)
(#opened_invariants:_)
(#p:a -> vprop)
(_:unit)
: STGhostT (a) opened_invariants
(exists_ p)
(fun x -> p x)
= let gx = elim_exists () in
let x = Ghost.reveal gx in
rewrite (p gx) (p x);
x
let vprop_rewrite (from to: vprop) : Tot Type =
gen_elim_f from unit (fun _ -> to) (fun _ -> True)
let tele_star_vprop_correct_ret
(v': vprop) (p': prop) (v: vprop) (p: prop)
: Tot (vprop_rewrite (tele_p (TRet v' p') `star` v `star` pure p) (tele_p (tele_star_vprop (TRet v' p') v p)))
= fun _ ->
elim_pure p;
rewrite (tele_p _) (v' `star` pure p');
elim_pure p';
intro_pure (p /\ p');
rewrite ((v `star` v') `star` pure (p /\ p')) (tele_p _)
let tele_star_vprop_correct_exists
(v: vprop) (p: prop)
(ty: _) (body: ty -> gen_elim_tele) (ih: (x: ty) -> GTot (vprop_rewrite (tele_p (body x) `star` v `star` pure p) (tele_p (tele_star_vprop (body x) v p))))
: Tot (vprop_rewrite (tele_p (TExists ty body) `star` v `star` pure p) (tele_p (tele_star_vprop (TExists ty body) v p)))
= fun _ ->
rewrite_with_trefl (tele_p _) (exists_ (fun x -> tele_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (tele_star_vprop (body x) v p));
rewrite_with_trefl (exists_ (fun x -> tele_p (tele_star_vprop (body x) v p))) (tele_p _)
let rec tele_star_vprop_correct
(i: gen_elim_tele) (v: vprop) (p: prop)
: GTot (vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p))
)
= match i returns vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p)) with
| TRet v' p' -> tele_star_vprop_correct_ret v' p' v p
| TExists ty body -> tele_star_vprop_correct_exists v p ty body (fun x -> tele_star_vprop_correct (body x) v p)
let tele_star_correct_ret_l
(v1: vprop) (p1: prop) (i2: gen_elim_tele)
: Tot (vprop_rewrite (tele_p (TRet v1 p1) `star` tele_p i2) (tele_p (TRet v1 p1 `tele_star` i2)))
= fun _ ->
rewrite (tele_p (TRet v1 p1)) (v1 `star` pure p1);
tele_star_vprop_correct i2 v1 p1 _;
rewrite (tele_p _) (tele_p _)
let tele_star_correct_ret_r
(i1: gen_elim_tele { ~ (TRet? i1) }) (v2: vprop) (p2: prop)
: Tot (vprop_rewrite (tele_p i1 `star` tele_p (TRet v2 p2)) (tele_p (i1 `tele_star` TRet v2 p2)))
= fun _ ->
rewrite (tele_p (TRet v2 p2)) (v2 `star` pure p2);
tele_star_vprop_correct i1 v2 p2 _;
rewrite (tele_p _) (tele_p (i1 `tele_star` TRet v2 p2))
let tele_star_correct_exists
(ty1: _) (f1: ty1 -> gen_elim_tele) (ty2: _) (f2: ty2 -> gen_elim_tele)
(ih: (x1: ty1) -> (x2: ty2) -> GTot (vprop_rewrite (tele_p (f1 x1) `star` tele_p (f2 x2)) (tele_p (f1 x1 `tele_star` f2 x2))))
: Tot (vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p (TExists ty2 f2)) (tele_p (tele_star (TExists ty1 f1) (TExists ty2 f2))))
= fun _ ->
rewrite_with_trefl (tele_p (TExists ty1 f1)) (exists_ (fun x1 -> tele_p (f1 x1)));
let x1 = elim_exists' () in
rewrite_with_trefl (tele_p (TExists ty2 f2)) (exists_ (fun x2 -> tele_p (f2 x2)));
let x2 = elim_exists' () in
ih x1 x2 _;
intro_exists x2 (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2)));
intro_exists x1 (fun x1 -> exists_ (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2))));
rewrite_with_trefl (exists_ _) (tele_p _)
let rec tele_star_correct
(i1 i2: gen_elim_tele)
: GTot (vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)))
= match i1 returns vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)) with
| TRet v1 p1 -> tele_star_correct_ret_l v1 p1 i2
| TExists ty1 f1 ->
begin match i2 returns vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p i2) (tele_p (TExists ty1 f1 `tele_star` i2)) with
| TRet v2 p2 -> tele_star_correct_ret_r (TExists ty1 f1) v2 p2
| TExists ty2 f2 -> tele_star_correct_exists ty1 f1 ty2 f2 (fun x1 x2 -> tele_star_correct (f1 x1) (f2 x2))
end
[@@noextract_to "Plugin" ]
let ge_to_tele_t
(i: gen_elim_i)
: Tot Type
= vprop_rewrite (compute_gen_elim_p i) (tele_p (compute_gen_elim_tele i))
let compute_gen_elim_tele_correct_unit
(v: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEUnit v))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_unit_elim_p v);
compute_gen_unit_elim_f v _;
intro_pure (compute_gen_unit_elim_post v);
rewrite_with_trefl (compute_gen_unit_elim_q v `star` pure _) (tele_p _)
let compute_gen_elim_tele_correct_star_l
(l: gen_elim_i)
(ihl: ge_to_tele_t l)
(ru: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEStarL l ru))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_elim_p l `star` compute_gen_unit_elim_p ru);
ihl _;
compute_gen_unit_elim_f ru _;
intro_pure (compute_gen_unit_elim_post ru);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_star_r
(lu: gen_unit_elim_i)
(r: gen_elim_i)
(ihr: ge_to_tele_t r)
: Tot (ge_to_tele_t (GEStarR lu r))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_unit_elim_p lu `star` compute_gen_elim_p r);
ihr _;
compute_gen_unit_elim_f lu _;
intro_pure (compute_gen_unit_elim_post lu);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_star
(l: gen_elim_i)
(ihl: ge_to_tele_t l)
(r: gen_elim_i)
(ihr: ge_to_tele_t r)
: Tot (ge_to_tele_t (GEStar l r))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_elim_p l `star` compute_gen_elim_p r);
ihl _;
ihr _;
tele_star_correct (compute_gen_elim_tele l) (compute_gen_elim_tele r) _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_exists_no_abs
(ty: _)
(body: ty -> vprop)
: Tot (ge_to_tele_t (GEExistsNoAbs #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ body);
let x = elim_exists' () in
intro_pure True;
intro_exists x (fun x -> body x `star` pure True);
rewrite_with_trefl (exists_ _) (tele_p _)
let compute_gen_elim_tele_correct_exists_unit
(ty: _)
(body: ty -> gen_unit_elim_i)
: Tot (ge_to_tele_t (GEExistsUnit #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let x = elim_exists' () in
compute_gen_unit_elim_f (body x) _;
intro_pure (compute_gen_unit_elim_post (body x));
intro_exists x (fun x -> compute_gen_unit_elim_q (body x) `star` pure (compute_gen_unit_elim_post (body x)));
rewrite_with_trefl (exists_ _) (tele_p _)
let compute_gen_elim_tele_correct_exists
(ty: _)
(body: ty -> gen_elim_i)
(ih: (x: ty) -> GTot (ge_to_tele_t (body x)))
: Tot (ge_to_tele_t (GEExists #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ (fun x -> compute_gen_elim_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (compute_gen_elim_tele (body x)));
rewrite_with_trefl (exists_ _) (tele_p _)
let rec compute_gen_elim_tele_correct
(x: gen_elim_i)
: GTot (ge_to_tele_t x)
= match x returns ge_to_tele_t x with
| GEUnit v -> compute_gen_elim_tele_correct_unit v
| GEStarL l ru -> compute_gen_elim_tele_correct_star_l l (compute_gen_elim_tele_correct l) ru
| GEStarR lu r -> compute_gen_elim_tele_correct_star_r lu r (compute_gen_elim_tele_correct r)
| GEStar l r -> compute_gen_elim_tele_correct_star l (compute_gen_elim_tele_correct l) r (compute_gen_elim_tele_correct r)
| GEExistsNoAbs #ty body -> compute_gen_elim_tele_correct_exists_no_abs ty body
| GEExistsUnit #ty body -> compute_gen_elim_tele_correct_exists_unit ty body
| GEExists #ty body -> compute_gen_elim_tele_correct_exists ty body (fun x -> compute_gen_elim_tele_correct (body x))
let rec gen_elim_nondep_p (ty: list Type0) : Tot (curried_function_type ty vprop -> curried_function_type ty prop -> Tot vprop) =
match ty as ty' returns curried_function_type ty' vprop -> curried_function_type ty' prop -> Tot vprop with
| [] -> fun q post -> q `star` pure post
| t :: tq -> fun q post -> exists_ (fun x -> gen_elim_nondep_p tq (q x) (post x))
let rec gen_elim_nondep_sem_correct
(ty: list Type0)
: Tot ((q: curried_function_type ty vprop) -> (post: curried_function_type ty prop) -> Lemma
(tele_p (gen_elim_nondep_sem ty q post) `equiv` gen_elim_nondep_p ty q post)
)
= match ty returns ((q: curried_function_type ty vprop) -> (post: curried_function_type ty prop) -> Lemma
(tele_p (gen_elim_nondep_sem ty q post) `equiv` gen_elim_nondep_p ty q post)
)
with
| [] -> fun q post -> equiv_refl (q `star` pure post)
| ta :: tq -> fun q post ->
let phi
(x: ta)
: Lemma
(tele_p (gen_elim_nondep_sem tq (q x) (post x)) `equiv` gen_elim_nondep_p tq (q x) (post x))
= gen_elim_nondep_sem_correct tq (q x) (post x)
in
Classical.forall_intro phi;
let prf () : Lemma
(exists_ (fun x -> tele_p (gen_elim_nondep_sem tq (q x) (post x))) `equiv` exists_ (fun x -> gen_elim_nondep_p tq (q x) (post x)))
=
exists_equiv (fun x -> tele_p (gen_elim_nondep_sem tq (q x) (post x))) (fun x -> gen_elim_nondep_p tq (q x) (post x))
in
assert_norm (tele_p (gen_elim_nondep_sem (ta :: tq) q post) == exists_ (fun x -> tele_p (gen_elim_nondep_sem tq (q x) (post x))));
assert_norm (gen_elim_nondep_p (ta :: tq) q post == exists_ (fun x -> gen_elim_nondep_p tq (q x) (post x)));
prf ()
let compute_gen_elim_nondep_correct_t
(i0: gen_elim_i)
(ty: list Type0)
: Tot Type
= (q: _) ->
(post: _) ->
(intro: vprop_rewrite (compute_gen_elim_p i0) (gen_elim_nondep_p ty q post)) ->
GTot (gen_elim_f
(compute_gen_elim_p i0)
(compute_gen_elim_nondep_a' ty)
(compute_uncurry vprop (compute_gen_elim_p' i0) ty q)
(compute_uncurry prop True ty post)
)
let compute_gen_elim_nondep_correct0
(i0: gen_elim_i)
: Tot (compute_gen_elim_nondep_correct_t i0 [])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (_ `star` pure post);
let res = () in
elim_pure _;
rewrite_with_trefl q (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct1
(i0: gen_elim_i)
(t1: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> q x1 `star` pure (post x1)));
let res = elim_exists' () in
elim_pure _;
rewrite_with_trefl (q _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct2
(i0: gen_elim_i)
(t1 t2: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> q x1 x2 `star` pure (post x1 x2))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let res = Mktuple2 x1 x2 in
elim_pure _;
rewrite_with_trefl (q _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct3
(i0: gen_elim_i)
(t1 t2 t3: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> q x1 x2 x3 `star` pure (post x1 x2 x3)))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let res = Mktuple3 x1 x2 x3 in
elim_pure _;
rewrite_with_trefl (q _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct4
(i0: gen_elim_i)
(t1 t2 t3 t4: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3; t4])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> exists_ (fun x4 -> q x1 x2 x3 x4 `star` pure (post x1 x2 x3 x4))))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let x4 = elim_exists' () in
let res = Mktuple4 x1 x2 x3 x4 in
elim_pure _;
rewrite_with_trefl (q _ _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct5
(i0: gen_elim_i)
(t1 t2 t3 t4 t5: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3; t4; t5])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> exists_ (fun x4 -> exists_ (fun x5 -> q x1 x2 x3 x4 x5 `star` pure (post x1 x2 x3 x4 x5)))))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let x4 = elim_exists' () in
let x5 = elim_exists' () in
let res = Mktuple5 x1 x2 x3 x4 x5 in
elim_pure _;
rewrite_with_trefl (q _ _ _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct6
(i0: gen_elim_i)
(t1 t2 t3 t4 t5 t6: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3; t4; t5; t6])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> exists_ (fun x4 -> exists_ (fun x5 -> exists_ (fun x6 -> q x1 x2 x3 x4 x5 x6 `star` pure (post x1 x2 x3 x4 x5 x6))))))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let x4 = elim_exists' () in
let x5 = elim_exists' () in
let x6 = elim_exists' () in
let res = Mktuple6 x1 x2 x3 x4 x5 x6 in
elim_pure _;
rewrite_with_trefl (q _ _ _ _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct7
(i0: gen_elim_i)
(t1 t2 t3 t4 t5 t6 t7: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3; t4; t5; t6; t7])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> exists_ (fun x4 -> exists_ (fun x5 -> exists_ (fun x6 -> exists_ (fun x7 -> q x1 x2 x3 x4 x5 x6 x7 `star` pure (post x1 x2 x3 x4 x5 x6 x7)))))))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let x4 = elim_exists' () in
let x5 = elim_exists' () in
let x6 = elim_exists' () in
let x7 = elim_exists' () in
let res = Mktuple7 x1 x2 x3 x4 x5 x6 x7 in
elim_pure _;
rewrite_with_trefl (q _ _ _ _ _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct8
(i0: gen_elim_i)
(t1 t2 t3 t4 t5 t6 t7 t8: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3; t4; t5; t6; t7; t8])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> exists_ (fun x4 -> exists_ (fun x5 -> exists_ (fun x6 -> exists_ (fun x7 -> exists_ (fun x8 -> q x1 x2 x3 x4 x5 x6 x7 x8 `star` pure (post x1 x2 x3 x4 x5 x6 x7 x8))))))))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let x4 = elim_exists' () in
let x5 = elim_exists' () in
let x6 = elim_exists' () in
let x7 = elim_exists' () in
let x8 = elim_exists' () in
let res = Mktuple8 x1 x2 x3 x4 x5 x6 x7 x8 in
elim_pure _;
rewrite_with_trefl (q _ _ _ _ _ _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct9
(i0: gen_elim_i)
(t1 t2 t3 t4 t5 t6 t7 t8 t9: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3; t4; t5; t6; t7; t8; t9])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> exists_ (fun x4 -> exists_ (fun x5 -> exists_ (fun x6 -> exists_ (fun x7 -> exists_ (fun x8 -> exists_ (fun x9 -> q x1 x2 x3 x4 x5 x6 x7 x8 x9 `star` pure (post x1 x2 x3 x4 x5 x6 x7 x8 x9)))))))))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let x4 = elim_exists' () in
let x5 = elim_exists' () in
let x6 = elim_exists' () in
let x7 = elim_exists' () in
let x8 = elim_exists' () in
let x9 = elim_exists' () in
let res = Mktuple9 x1 x2 x3 x4 x5 x6 x7 x8 x9 in
elim_pure _;
rewrite_with_trefl (q _ _ _ _ _ _ _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct10
(i0: gen_elim_i)
(t1 t2 t3 t4 t5 t6 t7 t8 t9 t10: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3; t4; t5; t6; t7; t8; t9; t10])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> exists_ (fun x4 -> exists_ (fun x5 -> exists_ (fun x6 -> exists_ (fun x7 -> exists_ (fun x8 -> exists_ (fun x9 -> exists_ (fun x10 -> q x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 `star` pure (post x1 x2 x3 x4 x5 x6 x7 x8 x9 x10))))))))))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let x4 = elim_exists' () in
let x5 = elim_exists' () in
let x6 = elim_exists' () in
let x7 = elim_exists' () in
let x8 = elim_exists' () in
let x9 = elim_exists' () in
let x10 = elim_exists' () in
let res = Mktuple10 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 in
elim_pure _;
rewrite_with_trefl (q _ _ _ _ _ _ _ _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct11
(i0: gen_elim_i)
(t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3; t4; t5; t6; t7; t8; t9; t10; t11])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> exists_ (fun x4 -> exists_ (fun x5 -> exists_ (fun x6 -> exists_ (fun x7 -> exists_ (fun x8 -> exists_ (fun x9 -> exists_ (fun x10 -> exists_ (fun x11 -> q x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 `star` pure (post x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11)))))))))))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let x4 = elim_exists' () in
let x5 = elim_exists' () in
let x6 = elim_exists' () in
let x7 = elim_exists' () in
let x8 = elim_exists' () in
let x9 = elim_exists' () in
let x10 = elim_exists' () in
let x11 = elim_exists' () in
let res = Mktuple11 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 in
elim_pure _;
rewrite_with_trefl (q _ _ _ _ _ _ _ _ _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct12
(i0: gen_elim_i)
(t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3; t4; t5; t6; t7; t8; t9; t10; t11; t12])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> exists_ (fun x4 -> exists_ (fun x5 -> exists_ (fun x6 -> exists_ (fun x7 -> exists_ (fun x8 -> exists_ (fun x9 -> exists_ (fun x10 -> exists_ (fun x11 -> exists_ (fun x12 -> q x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 `star` pure (post x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12))))))))))))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let x4 = elim_exists' () in
let x5 = elim_exists' () in
let x6 = elim_exists' () in
let x7 = elim_exists' () in
let x8 = elim_exists' () in
let x9 = elim_exists' () in
let x10 = elim_exists' () in
let x11 = elim_exists' () in
let x12 = elim_exists' () in
let res = Mktuple12 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 in
elim_pure _;
rewrite_with_trefl (q _ _ _ _ _ _ _ _ _ _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct13
(i0: gen_elim_i)
(t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3; t4; t5; t6; t7; t8; t9; t10; t11; t12; t13])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> exists_ (fun x4 -> exists_ (fun x5 -> exists_ (fun x6 -> exists_ (fun x7 -> exists_ (fun x8 -> exists_ (fun x9 -> exists_ (fun x10 -> exists_ (fun x11 -> exists_ (fun x12 -> exists_ (fun x13 -> q x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 `star` pure (post x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13)))))))))))))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let x4 = elim_exists' () in
let x5 = elim_exists' () in
let x6 = elim_exists' () in
let x7 = elim_exists' () in
let x8 = elim_exists' () in
let x9 = elim_exists' () in
let x10 = elim_exists' () in
let x11 = elim_exists' () in
let x12 = elim_exists' () in
let x13 = elim_exists' () in
let res = Mktuple13 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 in
elim_pure _;
rewrite_with_trefl (q _ _ _ _ _ _ _ _ _ _ _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct14
(i0: gen_elim_i)
(t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14: Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 [t1; t2; t3; t4; t5; t6; t7; t8; t9; t10; t11; t12; t13; t14])
= fun q post intro _ ->
intro _;
rewrite_with_trefl (gen_elim_nondep_p _ _ _) (exists_ (fun x1 -> exists_ (fun x2 -> exists_ (fun x3 -> exists_ (fun x4 -> exists_ (fun x5 -> exists_ (fun x6 -> exists_ (fun x7 -> exists_ (fun x8 -> exists_ (fun x9 -> exists_ (fun x10 -> exists_ (fun x11 -> exists_ (fun x12 -> exists_ (fun x13 -> exists_ (fun x14 -> q x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 `star` pure (post x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14))))))))))))))));
let x1 = elim_exists' () in
let x2 = elim_exists' () in
let x3 = elim_exists' () in
let x4 = elim_exists' () in
let x5 = elim_exists' () in
let x6 = elim_exists' () in
let x7 = elim_exists' () in
let x8 = elim_exists' () in
let x9 = elim_exists' () in
let x10 = elim_exists' () in
let x11 = elim_exists' () in
let x12 = elim_exists' () in
let x13 = elim_exists' () in
let x14 = elim_exists' () in
let res = Mktuple14 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 in
elim_pure _;
rewrite_with_trefl (q _ _ _ _ _ _ _ _ _ _ _ _ _ _) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct_default
(i0: gen_elim_i)
(t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15: Type0) (tq: list Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 (t1 :: t2 :: t3 :: t4 :: t5 :: t6 :: t7 :: t8 :: t9 :: t10 :: t11 :: t12 :: t13 :: t14 :: t15 :: tq))
= fun q post intro _ ->
// default case: no exists is opened
let res : compute_gen_elim_nondep_a' (t1 :: t2 :: t3 :: t4 :: t5 :: t6 :: t7 :: t8 :: t9 :: t10 :: t11 :: t12 :: t13 :: t14 :: t15 :: tq) = coerce_with_trefl () in
rewrite_with_trefl (compute_gen_elim_p i0) (compute_uncurry vprop _ _ _ res);
res
let compute_gen_elim_nondep_correct'
(i0: gen_elim_i)
(ty: list Type0)
: Tot (compute_gen_elim_nondep_correct_t i0 ty)
= match ty returns compute_gen_elim_nondep_correct_t i0 ty with
| [] -> compute_gen_elim_nondep_correct0 i0
| [t1] -> compute_gen_elim_nondep_correct1 i0 t1
| [t1; t2] -> compute_gen_elim_nondep_correct2 i0 t1 t2
| [t1; t2; t3] -> compute_gen_elim_nondep_correct3 i0 t1 t2 t3
| [t1; t2; t3; t4] -> compute_gen_elim_nondep_correct4 i0 t1 t2 t3 t4
| [t1; t2; t3; t4; t5] -> compute_gen_elim_nondep_correct5 i0 t1 t2 t3 t4 t5
| [t1; t2; t3; t4; t5; t6] -> compute_gen_elim_nondep_correct6 i0 t1 t2 t3 t4 t5 t6
| [t1; t2; t3; t4; t5; t6; t7] -> compute_gen_elim_nondep_correct7 i0 t1 t2 t3 t4 t5 t6 t7
| [t1; t2; t3; t4; t5; t6; t7; t8] -> compute_gen_elim_nondep_correct8 i0 t1 t2 t3 t4 t5 t6 t7 t8
| [t1; t2; t3; t4; t5; t6; t7; t8; t9] -> compute_gen_elim_nondep_correct9 i0 t1 t2 t3 t4 t5 t6 t7 t8 t9
| [t1; t2; t3; t4; t5; t6; t7; t8; t9; t10] -> compute_gen_elim_nondep_correct10 i0 t1 t2 t3 t4 t5 t6 t7 t8 t9 t10
| [t1; t2; t3; t4; t5; t6; t7; t8; t9; t10; t11] -> compute_gen_elim_nondep_correct11 i0 t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11
| [t1; t2; t3; t4; t5; t6; t7; t8; t9; t10; t11; t12] -> compute_gen_elim_nondep_correct12 i0 t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12
| [t1; t2; t3; t4; t5; t6; t7; t8; t9; t10; t11; t12; t13] -> compute_gen_elim_nondep_correct13 i0 t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13
| [t1; t2; t3; t4; t5; t6; t7; t8; t9; t10; t11; t12; t13; t14] -> compute_gen_elim_nondep_correct14 i0 t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14
| t1 :: t2 :: t3 :: t4 :: t5 :: t6 :: t7 :: t8 :: t9 :: t10 :: t11 :: t12 :: t13 :: t14 :: t15 :: tq -> compute_gen_elim_nondep_correct_default i0 t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 tq
let compute_gen_elim_nondep_correct_0
(i0: gen_elim_i)
(i: gen_elim_nondep_t)
= match i returns
(sq: squash (check_gen_elim_nondep_sem i0 i)) ->
GTot (gen_elim_f
(compute_gen_elim_p i0)
(compute_gen_elim_nondep_a i0 i)
(compute_gen_elim_nondep_q0 i0 i)
(compute_gen_elim_nondep_post0 i0 i)
)
with
| GEDep -> fun _ -> compute_gen_elim_f i0
| GENonDep ty q post -> fun _ ->
let intro : vprop_rewrite (compute_gen_elim_p i0) (gen_elim_nondep_p ty q post) = fun _ ->
compute_gen_elim_tele_correct i0 _;
rewrite (tele_p _) (tele_p (gen_elim_nondep_sem ty q post));
gen_elim_nondep_sem_correct ty q post;
rewrite_equiv (tele_p _) (gen_elim_nondep_p _ _ _)
in
compute_gen_elim_nondep_correct' i0 ty q post intro
let compute_gen_elim_nondep_correct
(i0: gen_elim_i)
(i: gen_elim_nondep_t)
(sq: squash (check_gen_elim_nondep_sem i0 i))
: Tot (gen_elim_f
(compute_gen_elim_p i0)
(Ghost.erased (compute_gen_elim_nondep_a i0 i))
(compute_gen_elim_nondep_q i0 i)
(compute_gen_elim_nondep_post i0 i)
)
= fun _ ->
let res0 = compute_gen_elim_nondep_correct_0 i0 i sq _ in
let res = Ghost.hide res0 in
rewrite (compute_gen_elim_nondep_q0 i0 i res0) (compute_gen_elim_nondep_q i0 i res);
res | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | x: tfrom -> Prims.Pure tto | Prims.Pure | [] | [] | [
"Prims.eq2",
"Prims.l_True"
] | [] | false | false | false | false | false | let coerce_with_smt (#tfrom #tto: Type) (x: tfrom)
: Pure tto (requires ((tfrom == tto))) (ensures (fun _ -> True)) =
| x | false |
Steel.ST.GenElim.fst | Steel.ST.GenElim.compute_gen_elim_f_unit | val compute_gen_elim_f_unit (i: gen_unit_elim_i) : GTot (gen_elim_t (GEUnit i)) | val compute_gen_elim_f_unit (i: gen_unit_elim_i) : GTot (gen_elim_t (GEUnit i)) | let compute_gen_elim_f_unit
(i: gen_unit_elim_i)
: GTot (gen_elim_t (GEUnit i))
= compute_gen_unit_elim_f i | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 27,
"end_line": 50,
"start_col": 0,
"start_line": 47
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2))
let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2)
let gen_elim_t (i: gen_elim_i) : Tot Type =
gen_elim_f (compute_gen_elim_p i) (compute_gen_elim_a i) (compute_gen_elim_q i) (compute_gen_elim_post i) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | i: Steel.ST.GenElim.Base.gen_unit_elim_i
-> Prims.GTot (Steel.ST.GenElim.gen_elim_t (Steel.ST.GenElim.Base.GEUnit i)) | Prims.GTot | [
"sometrivial"
] | [] | [
"Steel.ST.GenElim.Base.gen_unit_elim_i",
"Steel.ST.GenElim.compute_gen_unit_elim_f",
"Steel.ST.GenElim.gen_elim_t",
"Steel.ST.GenElim.Base.GEUnit"
] | [] | false | false | false | false | false | let compute_gen_elim_f_unit (i: gen_unit_elim_i) : GTot (gen_elim_t (GEUnit i)) =
| compute_gen_unit_elim_f i | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.fv_eq | val fv_eq : fv -> fv -> Tot bool | val fv_eq : fv -> fv -> Tot bool | let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2 | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 9,
"end_line": 52,
"start_col": 0,
"start_line": 49
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = () | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | fv1: FStar.Stubs.Reflection.Types.fv -> fv2: FStar.Stubs.Reflection.Types.fv -> Prims.bool | Prims.Tot | [
"total"
] | [] | [
"FStar.Stubs.Reflection.Types.fv",
"Prims.op_Equality",
"FStar.Stubs.Reflection.Types.name",
"FStar.Stubs.Reflection.V2.Builtins.inspect_fv",
"Prims.bool"
] | [] | false | false | false | true | false | let fv_eq fv1 fv2 =
| let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2 | false |
Hacl.Impl.RSAPSS.MGF.fst | Hacl.Impl.RSAPSS.MGF.mgf_hash_f | val mgf_hash_f:
a:Hash.hash_alg{S.hash_is_supported a}
-> len:size_t{v len + 4 <= max_size_t /\ (v len + 4) `less_than_max_input_length` a}
-> i:size_t
-> mgfseed_counter:lbuffer uint8 (len +! 4ul)
-> block:lbuffer uint8 (hash_len a) ->
Stack unit
(requires fun h -> live h mgfseed_counter /\ live h block /\ disjoint mgfseed_counter block)
(ensures fun h0 _ h1 -> modifies (loc mgfseed_counter |+| loc block) h0 h1 /\
(as_seq h1 mgfseed_counter, as_seq h1 block) == S.mgf_hash_f a (v len) (v i) (as_seq h0 mgfseed_counter)) | val mgf_hash_f:
a:Hash.hash_alg{S.hash_is_supported a}
-> len:size_t{v len + 4 <= max_size_t /\ (v len + 4) `less_than_max_input_length` a}
-> i:size_t
-> mgfseed_counter:lbuffer uint8 (len +! 4ul)
-> block:lbuffer uint8 (hash_len a) ->
Stack unit
(requires fun h -> live h mgfseed_counter /\ live h block /\ disjoint mgfseed_counter block)
(ensures fun h0 _ h1 -> modifies (loc mgfseed_counter |+| loc block) h0 h1 /\
(as_seq h1 mgfseed_counter, as_seq h1 block) == S.mgf_hash_f a (v len) (v i) (as_seq h0 mgfseed_counter)) | let mgf_hash_f a len i mgfseed_counter block =
let h0 = ST.get () in
update_sub_f h0 mgfseed_counter len 4ul
(fun h -> BSeq.nat_to_intseq_be 4 (v i))
(fun _ ->
let c = sub mgfseed_counter len 4ul in
counter_to_bytes i c);
hash a block (len +! 4ul) mgfseed_counter | {
"file_name": "code/rsapss/Hacl.Impl.RSAPSS.MGF.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 43,
"end_line": 93,
"start_col": 0,
"start_line": 86
} | module Hacl.Impl.RSAPSS.MGF
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
module ST = FStar.HyperStack.ST
module S = Spec.RSAPSS
module BSeq = Lib.ByteSequence
module LSeq = Lib.Sequence
module Hash = Spec.Agile.Hash
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val hash_len: a:Hash.hash_alg{S.hash_is_supported a} -> Tot (res:size_t{v res == Hash.hash_length a})
[@CInline]
let hash_len a =
Hacl.Hash.Definitions.hash_len a
inline_for_extraction noextract
let max_input_length = Hash.max_input_length
inline_for_extraction noextract
let less_than_max_input_length = Spec.Hash.Definitions.less_than_max_input_length
val hash:
a:Hash.hash_alg{S.hash_is_supported a}
-> mHash:lbuffer uint8 (hash_len a)
-> msgLen:size_t{v msgLen `less_than_max_input_length` a}
-> msg:lbuffer uint8 msgLen ->
Stack unit
(requires fun h -> live h mHash /\ live h msg /\ disjoint msg mHash)
(ensures fun h0 _ h1 -> modifies (loc mHash) h0 h1 /\
as_seq h1 mHash == Hash.hash a (as_seq h0 msg))
[@CInline]
let hash a mHash msgLen msg =
match a with
| Hash.SHA2_256 -> Hacl.Streaming.SHA2.hash_256 mHash msg msgLen
| Hash.SHA2_384 -> Hacl.Streaming.SHA2.hash_384 mHash msg msgLen
| Hash.SHA2_512 -> Hacl.Streaming.SHA2.hash_512 mHash msg msgLen
(* Mask Generation Function *)
inline_for_extraction noextract
val counter_to_bytes:
i:size_t
-> counter:lbuffer uint8 4ul ->
Stack unit
(requires fun h -> live h counter)
(ensures fun h0 _ h1 -> modifies (loc counter) h0 h1 /\
as_seq h1 counter == BSeq.nat_to_intseq_be 4 (v i))
let counter_to_bytes i c =
let h0 = ST.get () in
c.(0ul) <- to_u8 (i >>. 24ul);
c.(1ul) <- to_u8 (i >>. 16ul);
c.(2ul) <- to_u8 (i >>. 8ul);
c.(3ul) <- to_u8 i;
let h1 = ST.get () in
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 0;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 1;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 2;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 3;
LSeq.eq_intro (as_seq h1 c) (BSeq.nat_to_intseq_be 4 (v i))
inline_for_extraction noextract
val mgf_hash_f:
a:Hash.hash_alg{S.hash_is_supported a}
-> len:size_t{v len + 4 <= max_size_t /\ (v len + 4) `less_than_max_input_length` a}
-> i:size_t
-> mgfseed_counter:lbuffer uint8 (len +! 4ul)
-> block:lbuffer uint8 (hash_len a) ->
Stack unit
(requires fun h -> live h mgfseed_counter /\ live h block /\ disjoint mgfseed_counter block)
(ensures fun h0 _ h1 -> modifies (loc mgfseed_counter |+| loc block) h0 h1 /\
(as_seq h1 mgfseed_counter, as_seq h1 block) == S.mgf_hash_f a (v len) (v i) (as_seq h0 mgfseed_counter)) | {
"checked_file": "/",
"dependencies": [
"Spec.RSAPSS.fst.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Streaming.SHA2.fst.checked",
"Hacl.Hash.Definitions.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Impl.RSAPSS.MGF.fst"
} | [
{
"abbrev": true,
"full_module": "Spec.Agile.Hash",
"short_module": "Hash"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": true,
"full_module": "Lib.ByteSequence",
"short_module": "BSeq"
},
{
"abbrev": true,
"full_module": "Spec.RSAPSS",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
a: Spec.Hash.Definitions.hash_alg{Spec.RSAPSS.hash_is_supported a} ->
len:
Lib.IntTypes.size_t
{ Lib.IntTypes.v len + 4 <= Lib.IntTypes.max_size_t /\
Hacl.Impl.RSAPSS.MGF.less_than_max_input_length (Lib.IntTypes.v len + 4) a } ->
i: Lib.IntTypes.size_t ->
mgfseed_counter: Lib.Buffer.lbuffer Lib.IntTypes.uint8 (len +! 4ul) ->
block: Lib.Buffer.lbuffer Lib.IntTypes.uint8 (Hacl.Impl.RSAPSS.MGF.hash_len a)
-> FStar.HyperStack.ST.Stack Prims.unit | FStar.HyperStack.ST.Stack | [] | [] | [
"Spec.Hash.Definitions.hash_alg",
"Prims.b2t",
"Spec.RSAPSS.hash_is_supported",
"Lib.IntTypes.size_t",
"Prims.l_and",
"Prims.op_LessThanOrEqual",
"Prims.op_Addition",
"Lib.IntTypes.v",
"Lib.IntTypes.U32",
"Lib.IntTypes.PUB",
"Lib.IntTypes.max_size_t",
"Hacl.Impl.RSAPSS.MGF.less_than_max_input_length",
"Lib.Buffer.lbuffer",
"Lib.IntTypes.uint8",
"Lib.IntTypes.op_Plus_Bang",
"FStar.UInt32.__uint_to_t",
"Hacl.Impl.RSAPSS.MGF.hash_len",
"Hacl.Impl.RSAPSS.MGF.hash",
"Prims.unit",
"Lib.Buffer.update_sub_f",
"FStar.Monotonic.HyperStack.mem",
"Lib.ByteSequence.nat_to_intseq_be",
"Lib.IntTypes.U8",
"Lib.IntTypes.SEC",
"Lib.Sequence.lseq",
"Hacl.Impl.RSAPSS.MGF.counter_to_bytes",
"Lib.Buffer.lbuffer_t",
"Lib.Buffer.MUT",
"Lib.IntTypes.int_t",
"FStar.UInt32.uint_to_t",
"FStar.UInt32.t",
"Lib.Buffer.sub",
"FStar.HyperStack.ST.get"
] | [] | false | true | false | false | false | let mgf_hash_f a len i mgfseed_counter block =
| let h0 = ST.get () in
update_sub_f h0
mgfseed_counter
len
4ul
(fun h -> BSeq.nat_to_intseq_be 4 (v i))
(fun _ ->
let c = sub mgfseed_counter len 4ul in
counter_to_bytes i c);
hash a block (len +! 4ul) mgfseed_counter | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.head_of | val head_of (t: term) : Tac (option fv) | val head_of (t: term) : Tac (option fv) | let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 13,
"end_line": 61,
"start_col": 0,
"start_line": 54
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2 | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | t: FStar.Tactics.NamedView.term
-> FStar.Tactics.Effect.Tac (FStar.Pervasives.Native.option FStar.Stubs.Reflection.Types.fv) | FStar.Tactics.Effect.Tac | [] | [] | [
"FStar.Tactics.NamedView.term",
"FStar.Stubs.Reflection.Types.fv",
"FStar.Pervasives.Native.Some",
"FStar.Pervasives.Native.option",
"FStar.Stubs.Reflection.V2.Data.universes",
"FStar.Stubs.Reflection.V2.Data.argv",
"FStar.Tactics.Typeclasses.head_of",
"FStar.Tactics.NamedView.named_term_view",
"FStar.Pervasives.Native.None",
"FStar.Tactics.NamedView.inspect"
] | [
"recursion"
] | false | true | false | false | false | let rec head_of (t: term) : Tac (option fv) =
| match inspect t with
| Tv_FVar fv | Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.res_typ | val res_typ (t: term) : Tac term | val res_typ (t: term) : Tac term | let rec res_typ (t:term) : Tac term =
match inspect t with
| Tv_Arrow _ c -> (
match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t
)
| _ -> t | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 10,
"end_line": 70,
"start_col": 0,
"start_line": 63
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2
let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | t: FStar.Tactics.NamedView.term -> FStar.Tactics.Effect.Tac FStar.Tactics.NamedView.term | FStar.Tactics.Effect.Tac | [] | [] | [
"FStar.Tactics.NamedView.term",
"FStar.Tactics.NamedView.binder",
"FStar.Tactics.NamedView.comp",
"FStar.Tactics.NamedView.inspect_comp",
"FStar.Stubs.Reflection.Types.typ",
"FStar.Tactics.Typeclasses.res_typ",
"FStar.Stubs.Reflection.V2.Data.comp_view",
"FStar.Tactics.NamedView.named_term_view",
"FStar.Tactics.NamedView.inspect"
] | [
"recursion"
] | false | true | false | false | false | let rec res_typ (t: term) : Tac term =
| match inspect t with
| Tv_Arrow _ c ->
(match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t)
| _ -> t | false |
Hacl.Impl.RSAPSS.MGF.fst | Hacl.Impl.RSAPSS.MGF.counter_to_bytes | val counter_to_bytes:
i:size_t
-> counter:lbuffer uint8 4ul ->
Stack unit
(requires fun h -> live h counter)
(ensures fun h0 _ h1 -> modifies (loc counter) h0 h1 /\
as_seq h1 counter == BSeq.nat_to_intseq_be 4 (v i)) | val counter_to_bytes:
i:size_t
-> counter:lbuffer uint8 4ul ->
Stack unit
(requires fun h -> live h counter)
(ensures fun h0 _ h1 -> modifies (loc counter) h0 h1 /\
as_seq h1 counter == BSeq.nat_to_intseq_be 4 (v i)) | let counter_to_bytes i c =
let h0 = ST.get () in
c.(0ul) <- to_u8 (i >>. 24ul);
c.(1ul) <- to_u8 (i >>. 16ul);
c.(2ul) <- to_u8 (i >>. 8ul);
c.(3ul) <- to_u8 i;
let h1 = ST.get () in
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 0;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 1;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 2;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 3;
LSeq.eq_intro (as_seq h1 c) (BSeq.nat_to_intseq_be 4 (v i)) | {
"file_name": "code/rsapss/Hacl.Impl.RSAPSS.MGF.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 61,
"end_line": 71,
"start_col": 0,
"start_line": 60
} | module Hacl.Impl.RSAPSS.MGF
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
module ST = FStar.HyperStack.ST
module S = Spec.RSAPSS
module BSeq = Lib.ByteSequence
module LSeq = Lib.Sequence
module Hash = Spec.Agile.Hash
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val hash_len: a:Hash.hash_alg{S.hash_is_supported a} -> Tot (res:size_t{v res == Hash.hash_length a})
[@CInline]
let hash_len a =
Hacl.Hash.Definitions.hash_len a
inline_for_extraction noextract
let max_input_length = Hash.max_input_length
inline_for_extraction noextract
let less_than_max_input_length = Spec.Hash.Definitions.less_than_max_input_length
val hash:
a:Hash.hash_alg{S.hash_is_supported a}
-> mHash:lbuffer uint8 (hash_len a)
-> msgLen:size_t{v msgLen `less_than_max_input_length` a}
-> msg:lbuffer uint8 msgLen ->
Stack unit
(requires fun h -> live h mHash /\ live h msg /\ disjoint msg mHash)
(ensures fun h0 _ h1 -> modifies (loc mHash) h0 h1 /\
as_seq h1 mHash == Hash.hash a (as_seq h0 msg))
[@CInline]
let hash a mHash msgLen msg =
match a with
| Hash.SHA2_256 -> Hacl.Streaming.SHA2.hash_256 mHash msg msgLen
| Hash.SHA2_384 -> Hacl.Streaming.SHA2.hash_384 mHash msg msgLen
| Hash.SHA2_512 -> Hacl.Streaming.SHA2.hash_512 mHash msg msgLen
(* Mask Generation Function *)
inline_for_extraction noextract
val counter_to_bytes:
i:size_t
-> counter:lbuffer uint8 4ul ->
Stack unit
(requires fun h -> live h counter)
(ensures fun h0 _ h1 -> modifies (loc counter) h0 h1 /\
as_seq h1 counter == BSeq.nat_to_intseq_be 4 (v i)) | {
"checked_file": "/",
"dependencies": [
"Spec.RSAPSS.fst.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Streaming.SHA2.fst.checked",
"Hacl.Hash.Definitions.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Impl.RSAPSS.MGF.fst"
} | [
{
"abbrev": true,
"full_module": "Spec.Agile.Hash",
"short_module": "Hash"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": true,
"full_module": "Lib.ByteSequence",
"short_module": "BSeq"
},
{
"abbrev": true,
"full_module": "Spec.RSAPSS",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Impl.RSAPSS",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | i: Lib.IntTypes.size_t -> counter: Lib.Buffer.lbuffer Lib.IntTypes.uint8 4ul
-> FStar.HyperStack.ST.Stack Prims.unit | FStar.HyperStack.ST.Stack | [] | [] | [
"Lib.IntTypes.size_t",
"Lib.Buffer.lbuffer",
"Lib.IntTypes.uint8",
"FStar.UInt32.__uint_to_t",
"Lib.Sequence.eq_intro",
"Lib.IntTypes.v",
"Lib.IntTypes.U32",
"Lib.IntTypes.PUB",
"Lib.Buffer.as_seq",
"Lib.Buffer.MUT",
"Lib.ByteSequence.nat_to_intseq_be",
"Lib.IntTypes.U8",
"Lib.IntTypes.SEC",
"Prims.unit",
"Lib.ByteSequence.index_nat_to_intseq_be",
"FStar.Monotonic.HyperStack.mem",
"FStar.HyperStack.ST.get",
"Lib.Buffer.op_Array_Assignment",
"Lib.IntTypes.to_u8",
"Lib.IntTypes.op_Greater_Greater_Dot"
] | [] | false | true | false | false | false | let counter_to_bytes i c =
| let h0 = ST.get () in
c.(0ul) <- to_u8 (i >>. 24ul);
c.(1ul) <- to_u8 (i >>. 16ul);
c.(2ul) <- to_u8 (i >>. 8ul);
c.(3ul) <- to_u8 i;
let h1 = ST.get () in
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 0;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 1;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 2;
BSeq.index_nat_to_intseq_be #U8 #SEC 4 (v i) 3;
LSeq.eq_intro (as_seq h1 c) (BSeq.nat_to_intseq_be 4 (v i)) | false |
Hacl.Bignum.AlmostMontgomery.fst | Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_u64 | val bn_almost_mont_reduction_u64 (len: BN.meta_len U64) : bn_almost_mont_reduction_st U64 len | val bn_almost_mont_reduction_u64 (len: BN.meta_len U64) : bn_almost_mont_reduction_st U64 len | let bn_almost_mont_reduction_u64 (len:BN.meta_len U64) : bn_almost_mont_reduction_st U64 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U64 len) | {
"file_name": "code/bignum/Hacl.Bignum.AlmostMontgomery.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 53,
"end_line": 74,
"start_col": 0,
"start_line": 73
} | module Hacl.Bignum.AlmostMontgomery
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
open Hacl.Bignum.Base
module ST = FStar.HyperStack.ST
module S = Hacl.Spec.Bignum.AlmostMontgomery
module BN = Hacl.Bignum
module BM = Hacl.Bignum.Montgomery
friend Hacl.Spec.Bignum.AlmostMontgomery
friend Hacl.Bignum.Montgomery
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
let bn_almost_mont_reduction #t k n nInv c res =
[@inline_let] let len = k.BN.len in
push_frame ();
let c0 = BM.bn_mont_reduction_loop_div_r #t k n nInv c res in
let tmp = create len (uint #t #SEC 0) in
let c1 = k.BN.sub res n tmp in
LowStar.Ignore.ignore c1;
let m = uint #t 0 -. c0 in
map2T len res (mask_select m) tmp res;
pop_frame ()
let bn_almost_mont_mul #t k almost_mont_reduction n nInv_u64 aM bM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.mul aM bM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_sqr #t k almost_mont_reduction n nInv_u64 aM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.sqr aM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_reduction_u32 (len:BN.meta_len U32) : bn_almost_mont_reduction_st U32 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U32 len)
let bn_almost_mont_mul_u32 (len:BN.meta_len U32) : bn_almost_mont_mul_st U32 len =
bn_almost_mont_mul (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len)
let bn_almost_mont_sqr_u32 (len:BN.meta_len U32) : bn_almost_mont_sqr_st U32 len =
bn_almost_mont_sqr (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len)
inline_for_extraction noextract
let mk_runtime_almost_mont_u32 (len:BN.meta_len U32) : almost_mont U32 = {
bn = BN.mk_runtime_bn U32 len;
mont_check = BM.bn_check_modulus_u32 len;
precomp = BM.bn_precomp_r2_mod_n_u32 len;
reduction = bn_almost_mont_reduction_u32 len;
to = BM.bn_to_mont_u32 len;
from = BM.bn_from_mont_u32 len;
mul = bn_almost_mont_mul_u32 len;
sqr = bn_almost_mont_sqr_u32 len;
} | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Ignore.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Base.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": true,
"source_file": "Hacl.Bignum.AlmostMontgomery.fst"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | len: Hacl.Bignum.meta_len Lib.IntTypes.U64
-> Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_st Lib.IntTypes.U64 len | Prims.Tot | [
"total"
] | [] | [
"Hacl.Bignum.meta_len",
"Lib.IntTypes.U64",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction",
"Hacl.Bignum.mk_runtime_bn",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_st"
] | [] | false | false | false | false | false | let bn_almost_mont_reduction_u64 (len: BN.meta_len U64) : bn_almost_mont_reduction_st U64 len =
| bn_almost_mont_reduction (BN.mk_runtime_bn U64 len) | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.maybe_intros | val maybe_intros: Prims.unit -> Tac unit | val maybe_intros: Prims.unit -> Tac unit | let rec maybe_intros () : Tac unit =
let g = cur_goal () in
match inspect g with
| Tv_Arrow _ _ ->
ignore (intro ());
maybe_intros ()
| _ -> () | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 11,
"end_line": 157,
"start_col": 0,
"start_line": 151
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2
let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None
let rec res_typ (t:term) : Tac term =
match inspect t with
| Tv_Arrow _ c -> (
match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t
)
| _ -> t
(* Would be good to use different exceptions for each reason
the search stops, but it takes some work to properly account
for them and report proper errors. *)
exception NoInst
private
let rec first (f : 'a -> Tac 'b) (l : list 'a) : Tac 'b =
match l with
| [] -> raise NoInst
| x::xs -> (fun () -> f x) `or_else` (fun () -> first f xs)
(*
tcresolve': the main typeclass instantiation function.
seen : a list of goals we've seen already in this path of the search,
used to prevent loops
glb : a list of all global instances in scope, for all classes
fuel : amount of steps we allow in this path, we stop if we reach zero
head_fv : the head of the goal we're trying to solve, i.e. the class name
TODO: some form of memoization
*)
private
let rec tcresolve' (seen : list term) (glb : list fv) (fuel : int) : Tac unit =
if fuel <= 0 then
raise NoInst;
debug (fun () -> "fuel = " ^ string_of_int fuel);
let g = cur_goal () in
(* Try to detect loops *)
if L.existsb (Reflection.V2.TermEq.term_eq g) seen then (
debug (fun () -> "loop");
raise NoInst
);
match head_of g with
| None ->
debug (fun () -> "goal does not look like a typeclass");
raise NoInst
| Some head_fv ->
(* ^ Maybe should check is this really is a class too? *)
let seen = g :: seen in
local head_fv seen glb fuel
`or_else`
global head_fv seen glb fuel
and local (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
let bs = vars_of_env (cur_env ()) in
first (fun (b:binding) ->
trywith head_fv seen glb fuel (pack (Tv_Var b)) b.sort)
bs
and global (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
first (fun fv ->
let typ = tc (cur_env()) (pack (Tv_FVar fv)) in // FIXME: a bit slow.. but at least it's a simple fvar
trywith head_fv seen glb fuel (pack (Tv_FVar fv)) typ)
glb
and trywith (head_fv : fv) (seen:list term) (glb : list fv) (fuel:int) (t typ : term) : Tac unit =
debug (fun () -> "trywith " ^ term_to_string t);
match head_of (res_typ typ) with
| None ->
debug (fun () -> "no head for typ of this? " ^ term_to_string t ^ " typ=" ^ term_to_string typ);
raise NoInst
| Some fv' ->
if fv_eq fv' head_fv
then (
debug (fun () -> "Trying to apply hypothesis/instance: " ^ term_to_string t);
(fun () -> apply_noinst t) `seq` (fun () ->
debug (fun () -> dump "next"; "apply seems to have worked");
tcresolve' seen glb (fuel-1))
) else (
debug (fun () -> "different class: " ^ fv_to_string fv' ^ " <> " ^ fv_to_string head_fv);
raise NoInst
) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | _: Prims.unit -> FStar.Tactics.Effect.Tac Prims.unit | FStar.Tactics.Effect.Tac | [] | [] | [
"Prims.unit",
"FStar.Tactics.NamedView.binder",
"FStar.Tactics.NamedView.comp",
"FStar.Tactics.Typeclasses.maybe_intros",
"FStar.Pervasives.ignore",
"FStar.Stubs.Reflection.V2.Data.binding",
"FStar.Stubs.Tactics.V2.Builtins.intro",
"FStar.Tactics.NamedView.named_term_view",
"FStar.Tactics.NamedView.inspect",
"FStar.Stubs.Reflection.Types.typ",
"FStar.Tactics.V2.Derived.cur_goal"
] | [
"recursion"
] | false | true | false | false | false | let rec maybe_intros () : Tac unit =
| let g = cur_goal () in
match inspect g with
| Tv_Arrow _ _ ->
ignore (intro ());
maybe_intros ()
| _ -> () | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.tcresolve | val tcresolve : unit -> Tac unit | val tcresolve : unit -> Tac unit | let tcresolve () : Tac unit =
debug (fun () -> dump ""; "tcresolve entry point");
// We sometimes get goal type as _ -> t
// So intro if that's the case
// Not using intros () directly, since that unfolds aggressively if the term is not an arrow
// TODO: Should we..? Why wouldn't the head always be an FV?
let w = cur_witness () in
maybe_intros ();
// Fetch a list of all instances in scope right now.
// TODO: turn this into a hash map per class, ideally one that can be
// stored.
let glb = lookup_attr (`tcinstance) (cur_env ()) in
try
tcresolve' [] glb 16;
debug (fun () -> "Solved to:\n\t" ^ term_to_string w)
with
| NoInst ->
fail ("Could not solve constraint " ^ term_to_string (cur_goal ()))
| TacticFailure s ->
fail ("Typeclass resolution failed: " ^ s)
| e -> raise e | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 18,
"end_line": 181,
"start_col": 0,
"start_line": 160
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2
let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None
let rec res_typ (t:term) : Tac term =
match inspect t with
| Tv_Arrow _ c -> (
match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t
)
| _ -> t
(* Would be good to use different exceptions for each reason
the search stops, but it takes some work to properly account
for them and report proper errors. *)
exception NoInst
private
let rec first (f : 'a -> Tac 'b) (l : list 'a) : Tac 'b =
match l with
| [] -> raise NoInst
| x::xs -> (fun () -> f x) `or_else` (fun () -> first f xs)
(*
tcresolve': the main typeclass instantiation function.
seen : a list of goals we've seen already in this path of the search,
used to prevent loops
glb : a list of all global instances in scope, for all classes
fuel : amount of steps we allow in this path, we stop if we reach zero
head_fv : the head of the goal we're trying to solve, i.e. the class name
TODO: some form of memoization
*)
private
let rec tcresolve' (seen : list term) (glb : list fv) (fuel : int) : Tac unit =
if fuel <= 0 then
raise NoInst;
debug (fun () -> "fuel = " ^ string_of_int fuel);
let g = cur_goal () in
(* Try to detect loops *)
if L.existsb (Reflection.V2.TermEq.term_eq g) seen then (
debug (fun () -> "loop");
raise NoInst
);
match head_of g with
| None ->
debug (fun () -> "goal does not look like a typeclass");
raise NoInst
| Some head_fv ->
(* ^ Maybe should check is this really is a class too? *)
let seen = g :: seen in
local head_fv seen glb fuel
`or_else`
global head_fv seen glb fuel
and local (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
let bs = vars_of_env (cur_env ()) in
first (fun (b:binding) ->
trywith head_fv seen glb fuel (pack (Tv_Var b)) b.sort)
bs
and global (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
first (fun fv ->
let typ = tc (cur_env()) (pack (Tv_FVar fv)) in // FIXME: a bit slow.. but at least it's a simple fvar
trywith head_fv seen glb fuel (pack (Tv_FVar fv)) typ)
glb
and trywith (head_fv : fv) (seen:list term) (glb : list fv) (fuel:int) (t typ : term) : Tac unit =
debug (fun () -> "trywith " ^ term_to_string t);
match head_of (res_typ typ) with
| None ->
debug (fun () -> "no head for typ of this? " ^ term_to_string t ^ " typ=" ^ term_to_string typ);
raise NoInst
| Some fv' ->
if fv_eq fv' head_fv
then (
debug (fun () -> "Trying to apply hypothesis/instance: " ^ term_to_string t);
(fun () -> apply_noinst t) `seq` (fun () ->
debug (fun () -> dump "next"; "apply seems to have worked");
tcresolve' seen glb (fuel-1))
) else (
debug (fun () -> "different class: " ^ fv_to_string fv' ^ " <> " ^ fv_to_string head_fv);
raise NoInst
)
private
let rec maybe_intros () : Tac unit =
let g = cur_goal () in
match inspect g with
| Tv_Arrow _ _ ->
ignore (intro ());
maybe_intros ()
| _ -> () | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | _: Prims.unit -> FStar.Tactics.Effect.Tac Prims.unit | FStar.Tactics.Effect.Tac | [] | [] | [
"Prims.unit",
"FStar.Tactics.V2.Derived.try_with",
"FStar.Tactics.Typeclasses.debug",
"Prims.op_Hat",
"Prims.string",
"FStar.Stubs.Tactics.V2.Builtins.term_to_string",
"FStar.Tactics.Typeclasses.tcresolve'",
"Prims.Nil",
"FStar.Tactics.NamedView.term",
"Prims.exn",
"FStar.Tactics.V2.Derived.fail",
"FStar.Stubs.Reflection.Types.term",
"FStar.Tactics.V2.Derived.cur_goal",
"FStar.Stubs.Reflection.Types.typ",
"FStar.Tactics.Effect.raise",
"Prims.list",
"FStar.Stubs.Reflection.Types.fv",
"FStar.Stubs.Reflection.V2.Builtins.lookup_attr",
"FStar.Stubs.Reflection.Types.env",
"FStar.Tactics.V2.Derived.cur_env",
"FStar.Tactics.Typeclasses.maybe_intros",
"FStar.Tactics.V2.Derived.cur_witness",
"FStar.Stubs.Tactics.V2.Builtins.dump"
] | [] | false | true | false | false | false | let tcresolve () : Tac unit =
| debug (fun () ->
dump "";
"tcresolve entry point");
let w = cur_witness () in
maybe_intros ();
let glb = lookup_attr (`tcinstance) (cur_env ()) in
try
(tcresolve' [] glb 16;
debug (fun () -> "Solved to:\n\t" ^ term_to_string w))
with
| NoInst -> fail ("Could not solve constraint " ^ term_to_string (cur_goal ()))
| TacticFailure s -> fail ("Typeclass resolution failed: " ^ s)
| e -> raise e | false |
Hacl.Bignum.AlmostMontgomery.fst | Hacl.Bignum.AlmostMontgomery.bn_almost_mont_mul_u32 | val bn_almost_mont_mul_u32 (len: BN.meta_len U32) : bn_almost_mont_mul_st U32 len | val bn_almost_mont_mul_u32 (len: BN.meta_len U32) : bn_almost_mont_mul_st U32 len | let bn_almost_mont_mul_u32 (len:BN.meta_len U32) : bn_almost_mont_mul_st U32 len =
bn_almost_mont_mul (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len) | {
"file_name": "code/bignum/Hacl.Bignum.AlmostMontgomery.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 82,
"end_line": 56,
"start_col": 0,
"start_line": 55
} | module Hacl.Bignum.AlmostMontgomery
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
open Hacl.Bignum.Base
module ST = FStar.HyperStack.ST
module S = Hacl.Spec.Bignum.AlmostMontgomery
module BN = Hacl.Bignum
module BM = Hacl.Bignum.Montgomery
friend Hacl.Spec.Bignum.AlmostMontgomery
friend Hacl.Bignum.Montgomery
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
let bn_almost_mont_reduction #t k n nInv c res =
[@inline_let] let len = k.BN.len in
push_frame ();
let c0 = BM.bn_mont_reduction_loop_div_r #t k n nInv c res in
let tmp = create len (uint #t #SEC 0) in
let c1 = k.BN.sub res n tmp in
LowStar.Ignore.ignore c1;
let m = uint #t 0 -. c0 in
map2T len res (mask_select m) tmp res;
pop_frame ()
let bn_almost_mont_mul #t k almost_mont_reduction n nInv_u64 aM bM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.mul aM bM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_sqr #t k almost_mont_reduction n nInv_u64 aM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.sqr aM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_reduction_u32 (len:BN.meta_len U32) : bn_almost_mont_reduction_st U32 len = | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Ignore.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Base.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": true,
"source_file": "Hacl.Bignum.AlmostMontgomery.fst"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | len: Hacl.Bignum.meta_len Lib.IntTypes.U32
-> Hacl.Bignum.AlmostMontgomery.bn_almost_mont_mul_st Lib.IntTypes.U32 len | Prims.Tot | [
"total"
] | [] | [
"Hacl.Bignum.meta_len",
"Lib.IntTypes.U32",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_mul",
"Hacl.Bignum.mk_runtime_bn",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_u32",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_mul_st"
] | [] | false | false | false | false | false | let bn_almost_mont_mul_u32 (len: BN.meta_len U32) : bn_almost_mont_mul_st U32 len =
| bn_almost_mont_mul (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len) | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.binder_set_meta | val binder_set_meta (b: binder) (t: term) : binder | val binder_set_meta (b: binder) (t: term) : binder | let binder_set_meta (b : binder) (t : term) : binder =
{ b with qual = Q_Meta t } | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 28,
"end_line": 210,
"start_col": 0,
"start_line": 209
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2
let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None
let rec res_typ (t:term) : Tac term =
match inspect t with
| Tv_Arrow _ c -> (
match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t
)
| _ -> t
(* Would be good to use different exceptions for each reason
the search stops, but it takes some work to properly account
for them and report proper errors. *)
exception NoInst
private
let rec first (f : 'a -> Tac 'b) (l : list 'a) : Tac 'b =
match l with
| [] -> raise NoInst
| x::xs -> (fun () -> f x) `or_else` (fun () -> first f xs)
(*
tcresolve': the main typeclass instantiation function.
seen : a list of goals we've seen already in this path of the search,
used to prevent loops
glb : a list of all global instances in scope, for all classes
fuel : amount of steps we allow in this path, we stop if we reach zero
head_fv : the head of the goal we're trying to solve, i.e. the class name
TODO: some form of memoization
*)
private
let rec tcresolve' (seen : list term) (glb : list fv) (fuel : int) : Tac unit =
if fuel <= 0 then
raise NoInst;
debug (fun () -> "fuel = " ^ string_of_int fuel);
let g = cur_goal () in
(* Try to detect loops *)
if L.existsb (Reflection.V2.TermEq.term_eq g) seen then (
debug (fun () -> "loop");
raise NoInst
);
match head_of g with
| None ->
debug (fun () -> "goal does not look like a typeclass");
raise NoInst
| Some head_fv ->
(* ^ Maybe should check is this really is a class too? *)
let seen = g :: seen in
local head_fv seen glb fuel
`or_else`
global head_fv seen glb fuel
and local (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
let bs = vars_of_env (cur_env ()) in
first (fun (b:binding) ->
trywith head_fv seen glb fuel (pack (Tv_Var b)) b.sort)
bs
and global (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
first (fun fv ->
let typ = tc (cur_env()) (pack (Tv_FVar fv)) in // FIXME: a bit slow.. but at least it's a simple fvar
trywith head_fv seen glb fuel (pack (Tv_FVar fv)) typ)
glb
and trywith (head_fv : fv) (seen:list term) (glb : list fv) (fuel:int) (t typ : term) : Tac unit =
debug (fun () -> "trywith " ^ term_to_string t);
match head_of (res_typ typ) with
| None ->
debug (fun () -> "no head for typ of this? " ^ term_to_string t ^ " typ=" ^ term_to_string typ);
raise NoInst
| Some fv' ->
if fv_eq fv' head_fv
then (
debug (fun () -> "Trying to apply hypothesis/instance: " ^ term_to_string t);
(fun () -> apply_noinst t) `seq` (fun () ->
debug (fun () -> dump "next"; "apply seems to have worked");
tcresolve' seen glb (fuel-1))
) else (
debug (fun () -> "different class: " ^ fv_to_string fv' ^ " <> " ^ fv_to_string head_fv);
raise NoInst
)
private
let rec maybe_intros () : Tac unit =
let g = cur_goal () in
match inspect g with
| Tv_Arrow _ _ ->
ignore (intro ());
maybe_intros ()
| _ -> ()
[@@plugin]
let tcresolve () : Tac unit =
debug (fun () -> dump ""; "tcresolve entry point");
// We sometimes get goal type as _ -> t
// So intro if that's the case
// Not using intros () directly, since that unfolds aggressively if the term is not an arrow
// TODO: Should we..? Why wouldn't the head always be an FV?
let w = cur_witness () in
maybe_intros ();
// Fetch a list of all instances in scope right now.
// TODO: turn this into a hash map per class, ideally one that can be
// stored.
let glb = lookup_attr (`tcinstance) (cur_env ()) in
try
tcresolve' [] glb 16;
debug (fun () -> "Solved to:\n\t" ^ term_to_string w)
with
| NoInst ->
fail ("Could not solve constraint " ^ term_to_string (cur_goal ()))
| TacticFailure s ->
fail ("Typeclass resolution failed: " ^ s)
| e -> raise e
(**** Generating methods from a class ****)
(* In TAC, not Tot *)
private
let rec mk_abs (bs : list binder) (body : term) : Tac term (decreases bs) =
match bs with
| [] -> body
| b::bs -> pack (Tv_Abs b (mk_abs bs body))
private
let rec last (l : list 'a) : Tac 'a =
match l with
| [] -> fail "last: empty list"
| [x] -> x
| _::xs -> last xs
private
let filter_no_method_binders (bs:binders)
: binders
= let open FStar.Reflection.V2.TermEq in
let has_no_method_attr (b:binder) : bool =
L.existsb (term_eq (`no_method)) b.attrs
in
bs |> L.filter (fun b -> not (has_no_method_attr b)) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | b: FStar.Tactics.NamedView.binder -> t: FStar.Tactics.NamedView.term
-> FStar.Tactics.NamedView.binder | Prims.Tot | [
"total"
] | [] | [
"FStar.Tactics.NamedView.binder",
"FStar.Tactics.NamedView.term",
"FStar.Tactics.NamedView.Mkbinder",
"FStar.Tactics.NamedView.__proj__Mkbinder__item__uniq",
"FStar.Tactics.NamedView.__proj__Mkbinder__item__ppname",
"FStar.Tactics.NamedView.__proj__Mkbinder__item__sort",
"FStar.Stubs.Reflection.V2.Data.Q_Meta",
"FStar.Tactics.NamedView.__proj__Mkbinder__item__attrs"
] | [] | false | false | false | true | false | let binder_set_meta (b: binder) (t: term) : binder =
| { b with qual = Q_Meta t } | false |
Hacl.Bignum.AlmostMontgomery.fst | Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_u32 | val bn_almost_mont_reduction_u32 (len: BN.meta_len U32) : bn_almost_mont_reduction_st U32 len | val bn_almost_mont_reduction_u32 (len: BN.meta_len U32) : bn_almost_mont_reduction_st U32 len | let bn_almost_mont_reduction_u32 (len:BN.meta_len U32) : bn_almost_mont_reduction_st U32 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U32 len) | {
"file_name": "code/bignum/Hacl.Bignum.AlmostMontgomery.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 53,
"end_line": 54,
"start_col": 0,
"start_line": 53
} | module Hacl.Bignum.AlmostMontgomery
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
open Hacl.Bignum.Base
module ST = FStar.HyperStack.ST
module S = Hacl.Spec.Bignum.AlmostMontgomery
module BN = Hacl.Bignum
module BM = Hacl.Bignum.Montgomery
friend Hacl.Spec.Bignum.AlmostMontgomery
friend Hacl.Bignum.Montgomery
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
let bn_almost_mont_reduction #t k n nInv c res =
[@inline_let] let len = k.BN.len in
push_frame ();
let c0 = BM.bn_mont_reduction_loop_div_r #t k n nInv c res in
let tmp = create len (uint #t #SEC 0) in
let c1 = k.BN.sub res n tmp in
LowStar.Ignore.ignore c1;
let m = uint #t 0 -. c0 in
map2T len res (mask_select m) tmp res;
pop_frame ()
let bn_almost_mont_mul #t k almost_mont_reduction n nInv_u64 aM bM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.mul aM bM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_sqr #t k almost_mont_reduction n nInv_u64 aM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.sqr aM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame () | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Ignore.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Base.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": true,
"source_file": "Hacl.Bignum.AlmostMontgomery.fst"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | len: Hacl.Bignum.meta_len Lib.IntTypes.U32
-> Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_st Lib.IntTypes.U32 len | Prims.Tot | [
"total"
] | [] | [
"Hacl.Bignum.meta_len",
"Lib.IntTypes.U32",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction",
"Hacl.Bignum.mk_runtime_bn",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_st"
] | [] | false | false | false | false | false | let bn_almost_mont_reduction_u32 (len: BN.meta_len U32) : bn_almost_mont_reduction_st U32 len =
| bn_almost_mont_reduction (BN.mk_runtime_bn U32 len) | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.filter_no_method_binders | val filter_no_method_binders (bs: binders) : binders | val filter_no_method_binders (bs: binders) : binders | let filter_no_method_binders (bs:binders)
: binders
= let open FStar.Reflection.V2.TermEq in
let has_no_method_attr (b:binder) : bool =
L.existsb (term_eq (`no_method)) b.attrs
in
bs |> L.filter (fun b -> not (has_no_method_attr b)) | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 56,
"end_line": 206,
"start_col": 0,
"start_line": 200
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2
let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None
let rec res_typ (t:term) : Tac term =
match inspect t with
| Tv_Arrow _ c -> (
match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t
)
| _ -> t
(* Would be good to use different exceptions for each reason
the search stops, but it takes some work to properly account
for them and report proper errors. *)
exception NoInst
private
let rec first (f : 'a -> Tac 'b) (l : list 'a) : Tac 'b =
match l with
| [] -> raise NoInst
| x::xs -> (fun () -> f x) `or_else` (fun () -> first f xs)
(*
tcresolve': the main typeclass instantiation function.
seen : a list of goals we've seen already in this path of the search,
used to prevent loops
glb : a list of all global instances in scope, for all classes
fuel : amount of steps we allow in this path, we stop if we reach zero
head_fv : the head of the goal we're trying to solve, i.e. the class name
TODO: some form of memoization
*)
private
let rec tcresolve' (seen : list term) (glb : list fv) (fuel : int) : Tac unit =
if fuel <= 0 then
raise NoInst;
debug (fun () -> "fuel = " ^ string_of_int fuel);
let g = cur_goal () in
(* Try to detect loops *)
if L.existsb (Reflection.V2.TermEq.term_eq g) seen then (
debug (fun () -> "loop");
raise NoInst
);
match head_of g with
| None ->
debug (fun () -> "goal does not look like a typeclass");
raise NoInst
| Some head_fv ->
(* ^ Maybe should check is this really is a class too? *)
let seen = g :: seen in
local head_fv seen glb fuel
`or_else`
global head_fv seen glb fuel
and local (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
let bs = vars_of_env (cur_env ()) in
first (fun (b:binding) ->
trywith head_fv seen glb fuel (pack (Tv_Var b)) b.sort)
bs
and global (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
first (fun fv ->
let typ = tc (cur_env()) (pack (Tv_FVar fv)) in // FIXME: a bit slow.. but at least it's a simple fvar
trywith head_fv seen glb fuel (pack (Tv_FVar fv)) typ)
glb
and trywith (head_fv : fv) (seen:list term) (glb : list fv) (fuel:int) (t typ : term) : Tac unit =
debug (fun () -> "trywith " ^ term_to_string t);
match head_of (res_typ typ) with
| None ->
debug (fun () -> "no head for typ of this? " ^ term_to_string t ^ " typ=" ^ term_to_string typ);
raise NoInst
| Some fv' ->
if fv_eq fv' head_fv
then (
debug (fun () -> "Trying to apply hypothesis/instance: " ^ term_to_string t);
(fun () -> apply_noinst t) `seq` (fun () ->
debug (fun () -> dump "next"; "apply seems to have worked");
tcresolve' seen glb (fuel-1))
) else (
debug (fun () -> "different class: " ^ fv_to_string fv' ^ " <> " ^ fv_to_string head_fv);
raise NoInst
)
private
let rec maybe_intros () : Tac unit =
let g = cur_goal () in
match inspect g with
| Tv_Arrow _ _ ->
ignore (intro ());
maybe_intros ()
| _ -> ()
[@@plugin]
let tcresolve () : Tac unit =
debug (fun () -> dump ""; "tcresolve entry point");
// We sometimes get goal type as _ -> t
// So intro if that's the case
// Not using intros () directly, since that unfolds aggressively if the term is not an arrow
// TODO: Should we..? Why wouldn't the head always be an FV?
let w = cur_witness () in
maybe_intros ();
// Fetch a list of all instances in scope right now.
// TODO: turn this into a hash map per class, ideally one that can be
// stored.
let glb = lookup_attr (`tcinstance) (cur_env ()) in
try
tcresolve' [] glb 16;
debug (fun () -> "Solved to:\n\t" ^ term_to_string w)
with
| NoInst ->
fail ("Could not solve constraint " ^ term_to_string (cur_goal ()))
| TacticFailure s ->
fail ("Typeclass resolution failed: " ^ s)
| e -> raise e
(**** Generating methods from a class ****)
(* In TAC, not Tot *)
private
let rec mk_abs (bs : list binder) (body : term) : Tac term (decreases bs) =
match bs with
| [] -> body
| b::bs -> pack (Tv_Abs b (mk_abs bs body))
private
let rec last (l : list 'a) : Tac 'a =
match l with
| [] -> fail "last: empty list"
| [x] -> x
| _::xs -> last xs | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | bs: FStar.Tactics.NamedView.binders -> FStar.Tactics.NamedView.binders | Prims.Tot | [
"total"
] | [] | [
"FStar.Tactics.NamedView.binders",
"FStar.List.Tot.Base.filter",
"FStar.Tactics.NamedView.binder",
"Prims.op_Negation",
"Prims.bool",
"FStar.List.Tot.Base.existsb",
"FStar.Tactics.NamedView.term",
"FStar.Reflection.V2.TermEq.term_eq",
"FStar.Tactics.NamedView.__proj__Mkbinder__item__attrs"
] | [] | false | false | false | true | false | let filter_no_method_binders (bs: binders) : binders =
| let open FStar.Reflection.V2.TermEq in
let has_no_method_attr (b: binder) : bool = L.existsb (term_eq (`no_method)) b.attrs in
bs |> L.filter (fun b -> not (has_no_method_attr b)) | false |
Hacl.Bignum.AlmostMontgomery.fst | Hacl.Bignum.AlmostMontgomery.bn_almost_mont_sqr_u32 | val bn_almost_mont_sqr_u32 (len: BN.meta_len U32) : bn_almost_mont_sqr_st U32 len | val bn_almost_mont_sqr_u32 (len: BN.meta_len U32) : bn_almost_mont_sqr_st U32 len | let bn_almost_mont_sqr_u32 (len:BN.meta_len U32) : bn_almost_mont_sqr_st U32 len =
bn_almost_mont_sqr (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len) | {
"file_name": "code/bignum/Hacl.Bignum.AlmostMontgomery.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 82,
"end_line": 58,
"start_col": 0,
"start_line": 57
} | module Hacl.Bignum.AlmostMontgomery
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
open Hacl.Bignum.Base
module ST = FStar.HyperStack.ST
module S = Hacl.Spec.Bignum.AlmostMontgomery
module BN = Hacl.Bignum
module BM = Hacl.Bignum.Montgomery
friend Hacl.Spec.Bignum.AlmostMontgomery
friend Hacl.Bignum.Montgomery
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
let bn_almost_mont_reduction #t k n nInv c res =
[@inline_let] let len = k.BN.len in
push_frame ();
let c0 = BM.bn_mont_reduction_loop_div_r #t k n nInv c res in
let tmp = create len (uint #t #SEC 0) in
let c1 = k.BN.sub res n tmp in
LowStar.Ignore.ignore c1;
let m = uint #t 0 -. c0 in
map2T len res (mask_select m) tmp res;
pop_frame ()
let bn_almost_mont_mul #t k almost_mont_reduction n nInv_u64 aM bM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.mul aM bM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_sqr #t k almost_mont_reduction n nInv_u64 aM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.sqr aM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_reduction_u32 (len:BN.meta_len U32) : bn_almost_mont_reduction_st U32 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U32 len)
let bn_almost_mont_mul_u32 (len:BN.meta_len U32) : bn_almost_mont_mul_st U32 len = | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Ignore.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Base.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": true,
"source_file": "Hacl.Bignum.AlmostMontgomery.fst"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | len: Hacl.Bignum.meta_len Lib.IntTypes.U32
-> Hacl.Bignum.AlmostMontgomery.bn_almost_mont_sqr_st Lib.IntTypes.U32 len | Prims.Tot | [
"total"
] | [] | [
"Hacl.Bignum.meta_len",
"Lib.IntTypes.U32",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_sqr",
"Hacl.Bignum.mk_runtime_bn",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_u32",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_sqr_st"
] | [] | false | false | false | false | false | let bn_almost_mont_sqr_u32 (len: BN.meta_len U32) : bn_almost_mont_sqr_st U32 len =
| bn_almost_mont_sqr (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len) | false |
Hacl.Bignum.AlmostMontgomery.fst | Hacl.Bignum.AlmostMontgomery.bn_almost_mont_sqr_u64 | val bn_almost_mont_sqr_u64 (len: BN.meta_len U64) : bn_almost_mont_sqr_st U64 len | val bn_almost_mont_sqr_u64 (len: BN.meta_len U64) : bn_almost_mont_sqr_st U64 len | let bn_almost_mont_sqr_u64 (len:BN.meta_len U64) : bn_almost_mont_sqr_st U64 len =
bn_almost_mont_sqr (BN.mk_runtime_bn U64 len) (bn_almost_mont_reduction_u64 len) | {
"file_name": "code/bignum/Hacl.Bignum.AlmostMontgomery.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 82,
"end_line": 78,
"start_col": 0,
"start_line": 77
} | module Hacl.Bignum.AlmostMontgomery
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
open Hacl.Bignum.Base
module ST = FStar.HyperStack.ST
module S = Hacl.Spec.Bignum.AlmostMontgomery
module BN = Hacl.Bignum
module BM = Hacl.Bignum.Montgomery
friend Hacl.Spec.Bignum.AlmostMontgomery
friend Hacl.Bignum.Montgomery
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
let bn_almost_mont_reduction #t k n nInv c res =
[@inline_let] let len = k.BN.len in
push_frame ();
let c0 = BM.bn_mont_reduction_loop_div_r #t k n nInv c res in
let tmp = create len (uint #t #SEC 0) in
let c1 = k.BN.sub res n tmp in
LowStar.Ignore.ignore c1;
let m = uint #t 0 -. c0 in
map2T len res (mask_select m) tmp res;
pop_frame ()
let bn_almost_mont_mul #t k almost_mont_reduction n nInv_u64 aM bM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.mul aM bM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_sqr #t k almost_mont_reduction n nInv_u64 aM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.sqr aM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_reduction_u32 (len:BN.meta_len U32) : bn_almost_mont_reduction_st U32 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U32 len)
let bn_almost_mont_mul_u32 (len:BN.meta_len U32) : bn_almost_mont_mul_st U32 len =
bn_almost_mont_mul (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len)
let bn_almost_mont_sqr_u32 (len:BN.meta_len U32) : bn_almost_mont_sqr_st U32 len =
bn_almost_mont_sqr (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len)
inline_for_extraction noextract
let mk_runtime_almost_mont_u32 (len:BN.meta_len U32) : almost_mont U32 = {
bn = BN.mk_runtime_bn U32 len;
mont_check = BM.bn_check_modulus_u32 len;
precomp = BM.bn_precomp_r2_mod_n_u32 len;
reduction = bn_almost_mont_reduction_u32 len;
to = BM.bn_to_mont_u32 len;
from = BM.bn_from_mont_u32 len;
mul = bn_almost_mont_mul_u32 len;
sqr = bn_almost_mont_sqr_u32 len;
}
let bn_almost_mont_reduction_u64 (len:BN.meta_len U64) : bn_almost_mont_reduction_st U64 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U64 len)
let bn_almost_mont_mul_u64 (len:BN.meta_len U64) : bn_almost_mont_mul_st U64 len = | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Ignore.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Base.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": true,
"source_file": "Hacl.Bignum.AlmostMontgomery.fst"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | len: Hacl.Bignum.meta_len Lib.IntTypes.U64
-> Hacl.Bignum.AlmostMontgomery.bn_almost_mont_sqr_st Lib.IntTypes.U64 len | Prims.Tot | [
"total"
] | [] | [
"Hacl.Bignum.meta_len",
"Lib.IntTypes.U64",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_sqr",
"Hacl.Bignum.mk_runtime_bn",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_u64",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_sqr_st"
] | [] | false | false | false | false | false | let bn_almost_mont_sqr_u64 (len: BN.meta_len U64) : bn_almost_mont_sqr_st U64 len =
| bn_almost_mont_sqr (BN.mk_runtime_bn U64 len) (bn_almost_mont_reduction_u64 len) | false |
Hacl.Bignum.AlmostMontgomery.fst | Hacl.Bignum.AlmostMontgomery.mk_runtime_almost_mont_u32 | val mk_runtime_almost_mont_u32 (len: BN.meta_len U32) : almost_mont U32 | val mk_runtime_almost_mont_u32 (len: BN.meta_len U32) : almost_mont U32 | let mk_runtime_almost_mont_u32 (len:BN.meta_len U32) : almost_mont U32 = {
bn = BN.mk_runtime_bn U32 len;
mont_check = BM.bn_check_modulus_u32 len;
precomp = BM.bn_precomp_r2_mod_n_u32 len;
reduction = bn_almost_mont_reduction_u32 len;
to = BM.bn_to_mont_u32 len;
from = BM.bn_from_mont_u32 len;
mul = bn_almost_mont_mul_u32 len;
sqr = bn_almost_mont_sqr_u32 len;
} | {
"file_name": "code/bignum/Hacl.Bignum.AlmostMontgomery.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 1,
"end_line": 70,
"start_col": 0,
"start_line": 61
} | module Hacl.Bignum.AlmostMontgomery
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
open Hacl.Bignum.Base
module ST = FStar.HyperStack.ST
module S = Hacl.Spec.Bignum.AlmostMontgomery
module BN = Hacl.Bignum
module BM = Hacl.Bignum.Montgomery
friend Hacl.Spec.Bignum.AlmostMontgomery
friend Hacl.Bignum.Montgomery
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
let bn_almost_mont_reduction #t k n nInv c res =
[@inline_let] let len = k.BN.len in
push_frame ();
let c0 = BM.bn_mont_reduction_loop_div_r #t k n nInv c res in
let tmp = create len (uint #t #SEC 0) in
let c1 = k.BN.sub res n tmp in
LowStar.Ignore.ignore c1;
let m = uint #t 0 -. c0 in
map2T len res (mask_select m) tmp res;
pop_frame ()
let bn_almost_mont_mul #t k almost_mont_reduction n nInv_u64 aM bM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.mul aM bM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_sqr #t k almost_mont_reduction n nInv_u64 aM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.sqr aM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_reduction_u32 (len:BN.meta_len U32) : bn_almost_mont_reduction_st U32 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U32 len)
let bn_almost_mont_mul_u32 (len:BN.meta_len U32) : bn_almost_mont_mul_st U32 len =
bn_almost_mont_mul (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len)
let bn_almost_mont_sqr_u32 (len:BN.meta_len U32) : bn_almost_mont_sqr_st U32 len =
bn_almost_mont_sqr (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Ignore.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Base.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": true,
"source_file": "Hacl.Bignum.AlmostMontgomery.fst"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | len: Hacl.Bignum.meta_len Lib.IntTypes.U32
-> Hacl.Bignum.AlmostMontgomery.almost_mont Lib.IntTypes.U32 | Prims.Tot | [
"total"
] | [] | [
"Hacl.Bignum.meta_len",
"Lib.IntTypes.U32",
"Hacl.Bignum.AlmostMontgomery.Mkalmost_mont",
"Hacl.Bignum.mk_runtime_bn",
"Hacl.Bignum.Montgomery.bn_check_modulus_u32",
"Hacl.Bignum.Montgomery.bn_precomp_r2_mod_n_u32",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_u32",
"Hacl.Bignum.Montgomery.bn_to_mont_u32",
"Hacl.Bignum.Montgomery.bn_from_mont_u32",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_mul_u32",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_sqr_u32",
"Hacl.Bignum.AlmostMontgomery.almost_mont"
] | [] | false | false | false | true | false | let mk_runtime_almost_mont_u32 (len: BN.meta_len U32) : almost_mont U32 =
| {
bn = BN.mk_runtime_bn U32 len;
mont_check = BM.bn_check_modulus_u32 len;
precomp = BM.bn_precomp_r2_mod_n_u32 len;
reduction = bn_almost_mont_reduction_u32 len;
to = BM.bn_to_mont_u32 len;
from = BM.bn_from_mont_u32 len;
mul = bn_almost_mont_mul_u32 len;
sqr = bn_almost_mont_sqr_u32 len
} | false |
Hacl.Bignum.AlmostMontgomery.fst | Hacl.Bignum.AlmostMontgomery.bn_almost_mont_mul_u64 | val bn_almost_mont_mul_u64 (len: BN.meta_len U64) : bn_almost_mont_mul_st U64 len | val bn_almost_mont_mul_u64 (len: BN.meta_len U64) : bn_almost_mont_mul_st U64 len | let bn_almost_mont_mul_u64 (len:BN.meta_len U64) : bn_almost_mont_mul_st U64 len =
bn_almost_mont_mul (BN.mk_runtime_bn U64 len) (bn_almost_mont_reduction_u64 len) | {
"file_name": "code/bignum/Hacl.Bignum.AlmostMontgomery.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 82,
"end_line": 76,
"start_col": 0,
"start_line": 75
} | module Hacl.Bignum.AlmostMontgomery
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
open Hacl.Bignum.Base
module ST = FStar.HyperStack.ST
module S = Hacl.Spec.Bignum.AlmostMontgomery
module BN = Hacl.Bignum
module BM = Hacl.Bignum.Montgomery
friend Hacl.Spec.Bignum.AlmostMontgomery
friend Hacl.Bignum.Montgomery
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
let bn_almost_mont_reduction #t k n nInv c res =
[@inline_let] let len = k.BN.len in
push_frame ();
let c0 = BM.bn_mont_reduction_loop_div_r #t k n nInv c res in
let tmp = create len (uint #t #SEC 0) in
let c1 = k.BN.sub res n tmp in
LowStar.Ignore.ignore c1;
let m = uint #t 0 -. c0 in
map2T len res (mask_select m) tmp res;
pop_frame ()
let bn_almost_mont_mul #t k almost_mont_reduction n nInv_u64 aM bM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.mul aM bM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_sqr #t k almost_mont_reduction n nInv_u64 aM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.sqr aM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_reduction_u32 (len:BN.meta_len U32) : bn_almost_mont_reduction_st U32 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U32 len)
let bn_almost_mont_mul_u32 (len:BN.meta_len U32) : bn_almost_mont_mul_st U32 len =
bn_almost_mont_mul (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len)
let bn_almost_mont_sqr_u32 (len:BN.meta_len U32) : bn_almost_mont_sqr_st U32 len =
bn_almost_mont_sqr (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len)
inline_for_extraction noextract
let mk_runtime_almost_mont_u32 (len:BN.meta_len U32) : almost_mont U32 = {
bn = BN.mk_runtime_bn U32 len;
mont_check = BM.bn_check_modulus_u32 len;
precomp = BM.bn_precomp_r2_mod_n_u32 len;
reduction = bn_almost_mont_reduction_u32 len;
to = BM.bn_to_mont_u32 len;
from = BM.bn_from_mont_u32 len;
mul = bn_almost_mont_mul_u32 len;
sqr = bn_almost_mont_sqr_u32 len;
}
let bn_almost_mont_reduction_u64 (len:BN.meta_len U64) : bn_almost_mont_reduction_st U64 len = | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Ignore.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Base.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": true,
"source_file": "Hacl.Bignum.AlmostMontgomery.fst"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | len: Hacl.Bignum.meta_len Lib.IntTypes.U64
-> Hacl.Bignum.AlmostMontgomery.bn_almost_mont_mul_st Lib.IntTypes.U64 len | Prims.Tot | [
"total"
] | [] | [
"Hacl.Bignum.meta_len",
"Lib.IntTypes.U64",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_mul",
"Hacl.Bignum.mk_runtime_bn",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_u64",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_mul_st"
] | [] | false | false | false | false | false | let bn_almost_mont_mul_u64 (len: BN.meta_len U64) : bn_almost_mont_mul_st U64 len =
| bn_almost_mont_mul (BN.mk_runtime_bn U64 len) (bn_almost_mont_reduction_u64 len) | false |
Hacl.Bignum.AlmostMontgomery.fst | Hacl.Bignum.AlmostMontgomery.mk_runtime_almost_mont | val mk_runtime_almost_mont: #t:limb_t -> len:BN.meta_len t -> almost_mont t | val mk_runtime_almost_mont: #t:limb_t -> len:BN.meta_len t -> almost_mont t | let mk_runtime_almost_mont (#t:limb_t) (len:BN.meta_len t) : almost_mont t =
match t with
| U32 -> mk_runtime_almost_mont_u32 len
| U64 -> mk_runtime_almost_mont_u64 len | {
"file_name": "code/bignum/Hacl.Bignum.AlmostMontgomery.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 41,
"end_line": 96,
"start_col": 0,
"start_line": 93
} | module Hacl.Bignum.AlmostMontgomery
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
open Hacl.Bignum.Base
module ST = FStar.HyperStack.ST
module S = Hacl.Spec.Bignum.AlmostMontgomery
module BN = Hacl.Bignum
module BM = Hacl.Bignum.Montgomery
friend Hacl.Spec.Bignum.AlmostMontgomery
friend Hacl.Bignum.Montgomery
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
let bn_almost_mont_reduction #t k n nInv c res =
[@inline_let] let len = k.BN.len in
push_frame ();
let c0 = BM.bn_mont_reduction_loop_div_r #t k n nInv c res in
let tmp = create len (uint #t #SEC 0) in
let c1 = k.BN.sub res n tmp in
LowStar.Ignore.ignore c1;
let m = uint #t 0 -. c0 in
map2T len res (mask_select m) tmp res;
pop_frame ()
let bn_almost_mont_mul #t k almost_mont_reduction n nInv_u64 aM bM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.mul aM bM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_sqr #t k almost_mont_reduction n nInv_u64 aM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.sqr aM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_reduction_u32 (len:BN.meta_len U32) : bn_almost_mont_reduction_st U32 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U32 len)
let bn_almost_mont_mul_u32 (len:BN.meta_len U32) : bn_almost_mont_mul_st U32 len =
bn_almost_mont_mul (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len)
let bn_almost_mont_sqr_u32 (len:BN.meta_len U32) : bn_almost_mont_sqr_st U32 len =
bn_almost_mont_sqr (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len)
inline_for_extraction noextract
let mk_runtime_almost_mont_u32 (len:BN.meta_len U32) : almost_mont U32 = {
bn = BN.mk_runtime_bn U32 len;
mont_check = BM.bn_check_modulus_u32 len;
precomp = BM.bn_precomp_r2_mod_n_u32 len;
reduction = bn_almost_mont_reduction_u32 len;
to = BM.bn_to_mont_u32 len;
from = BM.bn_from_mont_u32 len;
mul = bn_almost_mont_mul_u32 len;
sqr = bn_almost_mont_sqr_u32 len;
}
let bn_almost_mont_reduction_u64 (len:BN.meta_len U64) : bn_almost_mont_reduction_st U64 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U64 len)
let bn_almost_mont_mul_u64 (len:BN.meta_len U64) : bn_almost_mont_mul_st U64 len =
bn_almost_mont_mul (BN.mk_runtime_bn U64 len) (bn_almost_mont_reduction_u64 len)
let bn_almost_mont_sqr_u64 (len:BN.meta_len U64) : bn_almost_mont_sqr_st U64 len =
bn_almost_mont_sqr (BN.mk_runtime_bn U64 len) (bn_almost_mont_reduction_u64 len)
inline_for_extraction noextract
let mk_runtime_almost_mont_u64 (len:BN.meta_len U64) : almost_mont U64 = {
bn = BN.mk_runtime_bn U64 len;
mont_check = BM.bn_check_modulus_u64 len;
precomp = BM.bn_precomp_r2_mod_n_u64 len;
reduction = bn_almost_mont_reduction_u64 len;
to = BM.bn_to_mont_u64 len;
from = BM.bn_from_mont_u64 len;
mul = bn_almost_mont_mul_u64 len;
sqr = bn_almost_mont_sqr_u64 len;
} | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Ignore.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Base.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": true,
"source_file": "Hacl.Bignum.AlmostMontgomery.fst"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | len: Hacl.Bignum.meta_len t -> Hacl.Bignum.AlmostMontgomery.almost_mont t | Prims.Tot | [
"total"
] | [] | [
"Hacl.Bignum.Definitions.limb_t",
"Hacl.Bignum.meta_len",
"Hacl.Bignum.AlmostMontgomery.mk_runtime_almost_mont_u32",
"Hacl.Bignum.AlmostMontgomery.mk_runtime_almost_mont_u64",
"Hacl.Bignum.AlmostMontgomery.almost_mont"
] | [] | false | false | false | false | false | let mk_runtime_almost_mont (#t: limb_t) (len: BN.meta_len t) : almost_mont t =
| match t with
| U32 -> mk_runtime_almost_mont_u32 len
| U64 -> mk_runtime_almost_mont_u64 len | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.first | val first (f: ('a -> Tac 'b)) (l: list 'a) : Tac 'b | val first (f: ('a -> Tac 'b)) (l: list 'a) : Tac 'b | let rec first (f : 'a -> Tac 'b) (l : list 'a) : Tac 'b =
match l with
| [] -> raise NoInst
| x::xs -> (fun () -> f x) `or_else` (fun () -> first f xs) | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 63,
"end_line": 81,
"start_col": 0,
"start_line": 78
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2
let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None
let rec res_typ (t:term) : Tac term =
match inspect t with
| Tv_Arrow _ c -> (
match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t
)
| _ -> t
(* Would be good to use different exceptions for each reason
the search stops, but it takes some work to properly account
for them and report proper errors. *)
exception NoInst | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | f: (_: 'a -> FStar.Tactics.Effect.Tac 'b) -> l: Prims.list 'a -> FStar.Tactics.Effect.Tac 'b | FStar.Tactics.Effect.Tac | [] | [] | [
"Prims.list",
"FStar.Tactics.Effect.raise",
"FStar.Tactics.Typeclasses.NoInst",
"FStar.Tactics.V2.Derived.or_else",
"Prims.unit",
"FStar.Tactics.Typeclasses.first"
] | [
"recursion"
] | false | true | false | false | false | let rec first (f: ('a -> Tac 'b)) (l: list 'a) : Tac 'b =
| match l with
| [] -> raise NoInst
| x :: xs -> (fun () -> f x) `or_else` (fun () -> first f xs) | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.mk_abs | val mk_abs (bs: list binder) (body: term) : Tac term (decreases bs) | val mk_abs (bs: list binder) (body: term) : Tac term (decreases bs) | let rec mk_abs (bs : list binder) (body : term) : Tac term (decreases bs) =
match bs with
| [] -> body
| b::bs -> pack (Tv_Abs b (mk_abs bs body)) | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 47,
"end_line": 190,
"start_col": 0,
"start_line": 187
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2
let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None
let rec res_typ (t:term) : Tac term =
match inspect t with
| Tv_Arrow _ c -> (
match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t
)
| _ -> t
(* Would be good to use different exceptions for each reason
the search stops, but it takes some work to properly account
for them and report proper errors. *)
exception NoInst
private
let rec first (f : 'a -> Tac 'b) (l : list 'a) : Tac 'b =
match l with
| [] -> raise NoInst
| x::xs -> (fun () -> f x) `or_else` (fun () -> first f xs)
(*
tcresolve': the main typeclass instantiation function.
seen : a list of goals we've seen already in this path of the search,
used to prevent loops
glb : a list of all global instances in scope, for all classes
fuel : amount of steps we allow in this path, we stop if we reach zero
head_fv : the head of the goal we're trying to solve, i.e. the class name
TODO: some form of memoization
*)
private
let rec tcresolve' (seen : list term) (glb : list fv) (fuel : int) : Tac unit =
if fuel <= 0 then
raise NoInst;
debug (fun () -> "fuel = " ^ string_of_int fuel);
let g = cur_goal () in
(* Try to detect loops *)
if L.existsb (Reflection.V2.TermEq.term_eq g) seen then (
debug (fun () -> "loop");
raise NoInst
);
match head_of g with
| None ->
debug (fun () -> "goal does not look like a typeclass");
raise NoInst
| Some head_fv ->
(* ^ Maybe should check is this really is a class too? *)
let seen = g :: seen in
local head_fv seen glb fuel
`or_else`
global head_fv seen glb fuel
and local (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
let bs = vars_of_env (cur_env ()) in
first (fun (b:binding) ->
trywith head_fv seen glb fuel (pack (Tv_Var b)) b.sort)
bs
and global (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
first (fun fv ->
let typ = tc (cur_env()) (pack (Tv_FVar fv)) in // FIXME: a bit slow.. but at least it's a simple fvar
trywith head_fv seen glb fuel (pack (Tv_FVar fv)) typ)
glb
and trywith (head_fv : fv) (seen:list term) (glb : list fv) (fuel:int) (t typ : term) : Tac unit =
debug (fun () -> "trywith " ^ term_to_string t);
match head_of (res_typ typ) with
| None ->
debug (fun () -> "no head for typ of this? " ^ term_to_string t ^ " typ=" ^ term_to_string typ);
raise NoInst
| Some fv' ->
if fv_eq fv' head_fv
then (
debug (fun () -> "Trying to apply hypothesis/instance: " ^ term_to_string t);
(fun () -> apply_noinst t) `seq` (fun () ->
debug (fun () -> dump "next"; "apply seems to have worked");
tcresolve' seen glb (fuel-1))
) else (
debug (fun () -> "different class: " ^ fv_to_string fv' ^ " <> " ^ fv_to_string head_fv);
raise NoInst
)
private
let rec maybe_intros () : Tac unit =
let g = cur_goal () in
match inspect g with
| Tv_Arrow _ _ ->
ignore (intro ());
maybe_intros ()
| _ -> ()
[@@plugin]
let tcresolve () : Tac unit =
debug (fun () -> dump ""; "tcresolve entry point");
// We sometimes get goal type as _ -> t
// So intro if that's the case
// Not using intros () directly, since that unfolds aggressively if the term is not an arrow
// TODO: Should we..? Why wouldn't the head always be an FV?
let w = cur_witness () in
maybe_intros ();
// Fetch a list of all instances in scope right now.
// TODO: turn this into a hash map per class, ideally one that can be
// stored.
let glb = lookup_attr (`tcinstance) (cur_env ()) in
try
tcresolve' [] glb 16;
debug (fun () -> "Solved to:\n\t" ^ term_to_string w)
with
| NoInst ->
fail ("Could not solve constraint " ^ term_to_string (cur_goal ()))
| TacticFailure s ->
fail ("Typeclass resolution failed: " ^ s)
| e -> raise e
(**** Generating methods from a class ****)
(* In TAC, not Tot *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | bs: Prims.list FStar.Tactics.NamedView.binder -> body: FStar.Tactics.NamedView.term
-> FStar.Tactics.Effect.Tac FStar.Tactics.NamedView.term | FStar.Tactics.Effect.Tac | [
""
] | [] | [
"Prims.list",
"FStar.Tactics.NamedView.binder",
"FStar.Tactics.NamedView.term",
"FStar.Tactics.NamedView.pack",
"FStar.Tactics.NamedView.named_term_view",
"FStar.Tactics.NamedView.Tv_Abs",
"FStar.Tactics.Typeclasses.mk_abs"
] | [
"recursion"
] | false | true | false | false | false | let rec mk_abs (bs: list binder) (body: term) : Tac term (decreases bs) =
| match bs with
| [] -> body
| b :: bs -> pack (Tv_Abs b (mk_abs bs body)) | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.tcresolve' | val tcresolve' (seen: list term) (glb: list fv) (fuel: int) : Tac unit | val tcresolve' (seen: list term) (glb: list fv) (fuel: int) : Tac unit | let rec tcresolve' (seen : list term) (glb : list fv) (fuel : int) : Tac unit =
if fuel <= 0 then
raise NoInst;
debug (fun () -> "fuel = " ^ string_of_int fuel);
let g = cur_goal () in
(* Try to detect loops *)
if L.existsb (Reflection.V2.TermEq.term_eq g) seen then (
debug (fun () -> "loop");
raise NoInst
);
match head_of g with
| None ->
debug (fun () -> "goal does not look like a typeclass");
raise NoInst
| Some head_fv ->
(* ^ Maybe should check is this really is a class too? *)
let seen = g :: seen in
local head_fv seen glb fuel
`or_else`
global head_fv seen glb fuel
and local (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
let bs = vars_of_env (cur_env ()) in
first (fun (b:binding) ->
trywith head_fv seen glb fuel (pack (Tv_Var b)) b.sort)
bs
and global (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
first (fun fv ->
let typ = tc (cur_env()) (pack (Tv_FVar fv)) in // FIXME: a bit slow.. but at least it's a simple fvar
trywith head_fv seen glb fuel (pack (Tv_FVar fv)) typ)
glb
and trywith (head_fv : fv) (seen:list term) (glb : list fv) (fuel:int) (t typ : term) : Tac unit =
debug (fun () -> "trywith " ^ term_to_string t);
match head_of (res_typ typ) with
| None ->
debug (fun () -> "no head for typ of this? " ^ term_to_string t ^ " typ=" ^ term_to_string typ);
raise NoInst
| Some fv' ->
if fv_eq fv' head_fv
then (
debug (fun () -> "Trying to apply hypothesis/instance: " ^ term_to_string t);
(fun () -> apply_noinst t) `seq` (fun () ->
debug (fun () -> dump "next"; "apply seems to have worked");
tcresolve' seen glb (fuel-1))
) else (
debug (fun () -> "different class: " ^ fv_to_string fv' ^ " <> " ^ fv_to_string head_fv);
raise NoInst
) | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 7,
"end_line": 148,
"start_col": 0,
"start_line": 95
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2
let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None
let rec res_typ (t:term) : Tac term =
match inspect t with
| Tv_Arrow _ c -> (
match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t
)
| _ -> t
(* Would be good to use different exceptions for each reason
the search stops, but it takes some work to properly account
for them and report proper errors. *)
exception NoInst
private
let rec first (f : 'a -> Tac 'b) (l : list 'a) : Tac 'b =
match l with
| [] -> raise NoInst
| x::xs -> (fun () -> f x) `or_else` (fun () -> first f xs)
(*
tcresolve': the main typeclass instantiation function.
seen : a list of goals we've seen already in this path of the search,
used to prevent loops
glb : a list of all global instances in scope, for all classes
fuel : amount of steps we allow in this path, we stop if we reach zero
head_fv : the head of the goal we're trying to solve, i.e. the class name
TODO: some form of memoization
*) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
seen: Prims.list FStar.Tactics.NamedView.term ->
glb: Prims.list FStar.Stubs.Reflection.Types.fv ->
fuel: Prims.int
-> FStar.Tactics.Effect.Tac Prims.unit | FStar.Tactics.Effect.Tac | [] | [
"tcresolve'",
"local",
"global",
"trywith"
] | [
"Prims.list",
"FStar.Tactics.NamedView.term",
"FStar.Stubs.Reflection.Types.fv",
"Prims.int",
"FStar.Tactics.Effect.raise",
"Prims.unit",
"FStar.Tactics.Typeclasses.NoInst",
"FStar.Tactics.Typeclasses.debug",
"Prims.string",
"FStar.Tactics.V2.Derived.or_else",
"FStar.Tactics.Typeclasses.local",
"FStar.Tactics.Typeclasses.global",
"Prims.Cons",
"FStar.Pervasives.Native.option",
"FStar.Tactics.Typeclasses.head_of",
"FStar.List.Tot.Base.existsb",
"FStar.Reflection.V2.TermEq.term_eq",
"Prims.bool",
"FStar.Stubs.Reflection.Types.typ",
"FStar.Tactics.V2.Derived.cur_goal",
"Prims.op_Hat",
"Prims.string_of_int",
"Prims.op_LessThanOrEqual"
] | [
"mutual recursion"
] | false | true | false | false | false | let rec tcresolve' (seen: list term) (glb: list fv) (fuel: int) : Tac unit =
| if fuel <= 0 then raise NoInst;
debug (fun () -> "fuel = " ^ string_of_int fuel);
let g = cur_goal () in
if L.existsb (Reflection.V2.TermEq.term_eq g) seen
then
(debug (fun () -> "loop");
raise NoInst);
match head_of g with
| None ->
debug (fun () -> "goal does not look like a typeclass");
raise NoInst
| Some head_fv ->
let seen = g :: seen in
(local head_fv seen glb fuel) `or_else` (global head_fv seen glb fuel) | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.last | val last (l: list 'a) : Tac 'a | val last (l: list 'a) : Tac 'a | let rec last (l : list 'a) : Tac 'a =
match l with
| [] -> fail "last: empty list"
| [x] -> x
| _::xs -> last xs | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 20,
"end_line": 197,
"start_col": 0,
"start_line": 193
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2
let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None
let rec res_typ (t:term) : Tac term =
match inspect t with
| Tv_Arrow _ c -> (
match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t
)
| _ -> t
(* Would be good to use different exceptions for each reason
the search stops, but it takes some work to properly account
for them and report proper errors. *)
exception NoInst
private
let rec first (f : 'a -> Tac 'b) (l : list 'a) : Tac 'b =
match l with
| [] -> raise NoInst
| x::xs -> (fun () -> f x) `or_else` (fun () -> first f xs)
(*
tcresolve': the main typeclass instantiation function.
seen : a list of goals we've seen already in this path of the search,
used to prevent loops
glb : a list of all global instances in scope, for all classes
fuel : amount of steps we allow in this path, we stop if we reach zero
head_fv : the head of the goal we're trying to solve, i.e. the class name
TODO: some form of memoization
*)
private
let rec tcresolve' (seen : list term) (glb : list fv) (fuel : int) : Tac unit =
if fuel <= 0 then
raise NoInst;
debug (fun () -> "fuel = " ^ string_of_int fuel);
let g = cur_goal () in
(* Try to detect loops *)
if L.existsb (Reflection.V2.TermEq.term_eq g) seen then (
debug (fun () -> "loop");
raise NoInst
);
match head_of g with
| None ->
debug (fun () -> "goal does not look like a typeclass");
raise NoInst
| Some head_fv ->
(* ^ Maybe should check is this really is a class too? *)
let seen = g :: seen in
local head_fv seen glb fuel
`or_else`
global head_fv seen glb fuel
and local (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
let bs = vars_of_env (cur_env ()) in
first (fun (b:binding) ->
trywith head_fv seen glb fuel (pack (Tv_Var b)) b.sort)
bs
and global (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
first (fun fv ->
let typ = tc (cur_env()) (pack (Tv_FVar fv)) in // FIXME: a bit slow.. but at least it's a simple fvar
trywith head_fv seen glb fuel (pack (Tv_FVar fv)) typ)
glb
and trywith (head_fv : fv) (seen:list term) (glb : list fv) (fuel:int) (t typ : term) : Tac unit =
debug (fun () -> "trywith " ^ term_to_string t);
match head_of (res_typ typ) with
| None ->
debug (fun () -> "no head for typ of this? " ^ term_to_string t ^ " typ=" ^ term_to_string typ);
raise NoInst
| Some fv' ->
if fv_eq fv' head_fv
then (
debug (fun () -> "Trying to apply hypothesis/instance: " ^ term_to_string t);
(fun () -> apply_noinst t) `seq` (fun () ->
debug (fun () -> dump "next"; "apply seems to have worked");
tcresolve' seen glb (fuel-1))
) else (
debug (fun () -> "different class: " ^ fv_to_string fv' ^ " <> " ^ fv_to_string head_fv);
raise NoInst
)
private
let rec maybe_intros () : Tac unit =
let g = cur_goal () in
match inspect g with
| Tv_Arrow _ _ ->
ignore (intro ());
maybe_intros ()
| _ -> ()
[@@plugin]
let tcresolve () : Tac unit =
debug (fun () -> dump ""; "tcresolve entry point");
// We sometimes get goal type as _ -> t
// So intro if that's the case
// Not using intros () directly, since that unfolds aggressively if the term is not an arrow
// TODO: Should we..? Why wouldn't the head always be an FV?
let w = cur_witness () in
maybe_intros ();
// Fetch a list of all instances in scope right now.
// TODO: turn this into a hash map per class, ideally one that can be
// stored.
let glb = lookup_attr (`tcinstance) (cur_env ()) in
try
tcresolve' [] glb 16;
debug (fun () -> "Solved to:\n\t" ^ term_to_string w)
with
| NoInst ->
fail ("Could not solve constraint " ^ term_to_string (cur_goal ()))
| TacticFailure s ->
fail ("Typeclass resolution failed: " ^ s)
| e -> raise e
(**** Generating methods from a class ****)
(* In TAC, not Tot *)
private
let rec mk_abs (bs : list binder) (body : term) : Tac term (decreases bs) =
match bs with
| [] -> body
| b::bs -> pack (Tv_Abs b (mk_abs bs body)) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | l: Prims.list 'a -> FStar.Tactics.Effect.Tac 'a | FStar.Tactics.Effect.Tac | [] | [] | [
"Prims.list",
"FStar.Tactics.V2.Derived.fail",
"FStar.Tactics.Typeclasses.last"
] | [
"recursion"
] | false | true | false | false | false | let rec last (l: list 'a) : Tac 'a =
| match l with
| [] -> fail "last: empty list"
| [x] -> x
| _ :: xs -> last xs | false |
Hacl.Bignum.AlmostMontgomery.fst | Hacl.Bignum.AlmostMontgomery.mk_runtime_almost_mont_u64 | val mk_runtime_almost_mont_u64 (len: BN.meta_len U64) : almost_mont U64 | val mk_runtime_almost_mont_u64 (len: BN.meta_len U64) : almost_mont U64 | let mk_runtime_almost_mont_u64 (len:BN.meta_len U64) : almost_mont U64 = {
bn = BN.mk_runtime_bn U64 len;
mont_check = BM.bn_check_modulus_u64 len;
precomp = BM.bn_precomp_r2_mod_n_u64 len;
reduction = bn_almost_mont_reduction_u64 len;
to = BM.bn_to_mont_u64 len;
from = BM.bn_from_mont_u64 len;
mul = bn_almost_mont_mul_u64 len;
sqr = bn_almost_mont_sqr_u64 len;
} | {
"file_name": "code/bignum/Hacl.Bignum.AlmostMontgomery.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 1,
"end_line": 90,
"start_col": 0,
"start_line": 81
} | module Hacl.Bignum.AlmostMontgomery
open FStar.HyperStack
open FStar.HyperStack.ST
open FStar.Mul
open Lib.IntTypes
open Lib.Buffer
open Hacl.Bignum.Definitions
open Hacl.Bignum.Base
module ST = FStar.HyperStack.ST
module S = Hacl.Spec.Bignum.AlmostMontgomery
module BN = Hacl.Bignum
module BM = Hacl.Bignum.Montgomery
friend Hacl.Spec.Bignum.AlmostMontgomery
friend Hacl.Bignum.Montgomery
#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
let bn_almost_mont_reduction #t k n nInv c res =
[@inline_let] let len = k.BN.len in
push_frame ();
let c0 = BM.bn_mont_reduction_loop_div_r #t k n nInv c res in
let tmp = create len (uint #t #SEC 0) in
let c1 = k.BN.sub res n tmp in
LowStar.Ignore.ignore c1;
let m = uint #t 0 -. c0 in
map2T len res (mask_select m) tmp res;
pop_frame ()
let bn_almost_mont_mul #t k almost_mont_reduction n nInv_u64 aM bM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.mul aM bM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_sqr #t k almost_mont_reduction n nInv_u64 aM resM =
[@inline_let] let len = k.BN.len in
push_frame ();
let c = create (len +! len) (uint #t 0) in
k.BN.sqr aM c;
almost_mont_reduction n nInv_u64 c resM;
pop_frame ()
let bn_almost_mont_reduction_u32 (len:BN.meta_len U32) : bn_almost_mont_reduction_st U32 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U32 len)
let bn_almost_mont_mul_u32 (len:BN.meta_len U32) : bn_almost_mont_mul_st U32 len =
bn_almost_mont_mul (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len)
let bn_almost_mont_sqr_u32 (len:BN.meta_len U32) : bn_almost_mont_sqr_st U32 len =
bn_almost_mont_sqr (BN.mk_runtime_bn U32 len) (bn_almost_mont_reduction_u32 len)
inline_for_extraction noextract
let mk_runtime_almost_mont_u32 (len:BN.meta_len U32) : almost_mont U32 = {
bn = BN.mk_runtime_bn U32 len;
mont_check = BM.bn_check_modulus_u32 len;
precomp = BM.bn_precomp_r2_mod_n_u32 len;
reduction = bn_almost_mont_reduction_u32 len;
to = BM.bn_to_mont_u32 len;
from = BM.bn_from_mont_u32 len;
mul = bn_almost_mont_mul_u32 len;
sqr = bn_almost_mont_sqr_u32 len;
}
let bn_almost_mont_reduction_u64 (len:BN.meta_len U64) : bn_almost_mont_reduction_st U64 len =
bn_almost_mont_reduction (BN.mk_runtime_bn U64 len)
let bn_almost_mont_mul_u64 (len:BN.meta_len U64) : bn_almost_mont_mul_st U64 len =
bn_almost_mont_mul (BN.mk_runtime_bn U64 len) (bn_almost_mont_reduction_u64 len)
let bn_almost_mont_sqr_u64 (len:BN.meta_len U64) : bn_almost_mont_sqr_st U64 len =
bn_almost_mont_sqr (BN.mk_runtime_bn U64 len) (bn_almost_mont_reduction_u64 len) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Ignore.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Buffer.fsti.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Spec.Bignum.AlmostMontgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Montgomery.fst.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Base.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked"
],
"interface_file": true,
"source_file": "Hacl.Bignum.AlmostMontgomery.fst"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "ST"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.Montgomery",
"short_module": "BM"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.AlmostMontgomery",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Hacl.Bignum.Definitions",
"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.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.HyperStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Bignum",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | len: Hacl.Bignum.meta_len Lib.IntTypes.U64
-> Hacl.Bignum.AlmostMontgomery.almost_mont Lib.IntTypes.U64 | Prims.Tot | [
"total"
] | [] | [
"Hacl.Bignum.meta_len",
"Lib.IntTypes.U64",
"Hacl.Bignum.AlmostMontgomery.Mkalmost_mont",
"Hacl.Bignum.mk_runtime_bn",
"Hacl.Bignum.Montgomery.bn_check_modulus_u64",
"Hacl.Bignum.Montgomery.bn_precomp_r2_mod_n_u64",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_reduction_u64",
"Hacl.Bignum.Montgomery.bn_to_mont_u64",
"Hacl.Bignum.Montgomery.bn_from_mont_u64",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_mul_u64",
"Hacl.Bignum.AlmostMontgomery.bn_almost_mont_sqr_u64",
"Hacl.Bignum.AlmostMontgomery.almost_mont"
] | [] | false | false | false | true | false | let mk_runtime_almost_mont_u64 (len: BN.meta_len U64) : almost_mont U64 =
| {
bn = BN.mk_runtime_bn U64 len;
mont_check = BM.bn_check_modulus_u64 len;
precomp = BM.bn_precomp_r2_mod_n_u64 len;
reduction = bn_almost_mont_reduction_u64 len;
to = BM.bn_to_mont_u64 len;
from = BM.bn_from_mont_u64 len;
mul = bn_almost_mont_mul_u64 len;
sqr = bn_almost_mont_sqr_u64 len
} | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.local | val local: head_fv: fv -> seen: list term -> glb: list fv -> fuel: int -> Prims.unit -> Tac unit | val local: head_fv: fv -> seen: list term -> glb: list fv -> fuel: int -> Prims.unit -> Tac unit | let rec tcresolve' (seen : list term) (glb : list fv) (fuel : int) : Tac unit =
if fuel <= 0 then
raise NoInst;
debug (fun () -> "fuel = " ^ string_of_int fuel);
let g = cur_goal () in
(* Try to detect loops *)
if L.existsb (Reflection.V2.TermEq.term_eq g) seen then (
debug (fun () -> "loop");
raise NoInst
);
match head_of g with
| None ->
debug (fun () -> "goal does not look like a typeclass");
raise NoInst
| Some head_fv ->
(* ^ Maybe should check is this really is a class too? *)
let seen = g :: seen in
local head_fv seen glb fuel
`or_else`
global head_fv seen glb fuel
and local (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
let bs = vars_of_env (cur_env ()) in
first (fun (b:binding) ->
trywith head_fv seen glb fuel (pack (Tv_Var b)) b.sort)
bs
and global (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
first (fun fv ->
let typ = tc (cur_env()) (pack (Tv_FVar fv)) in // FIXME: a bit slow.. but at least it's a simple fvar
trywith head_fv seen glb fuel (pack (Tv_FVar fv)) typ)
glb
and trywith (head_fv : fv) (seen:list term) (glb : list fv) (fuel:int) (t typ : term) : Tac unit =
debug (fun () -> "trywith " ^ term_to_string t);
match head_of (res_typ typ) with
| None ->
debug (fun () -> "no head for typ of this? " ^ term_to_string t ^ " typ=" ^ term_to_string typ);
raise NoInst
| Some fv' ->
if fv_eq fv' head_fv
then (
debug (fun () -> "Trying to apply hypothesis/instance: " ^ term_to_string t);
(fun () -> apply_noinst t) `seq` (fun () ->
debug (fun () -> dump "next"; "apply seems to have worked");
tcresolve' seen glb (fuel-1))
) else (
debug (fun () -> "different class: " ^ fv_to_string fv' ^ " <> " ^ fv_to_string head_fv);
raise NoInst
) | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 7,
"end_line": 148,
"start_col": 0,
"start_line": 95
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2
let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None
let rec res_typ (t:term) : Tac term =
match inspect t with
| Tv_Arrow _ c -> (
match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t
)
| _ -> t
(* Would be good to use different exceptions for each reason
the search stops, but it takes some work to properly account
for them and report proper errors. *)
exception NoInst
private
let rec first (f : 'a -> Tac 'b) (l : list 'a) : Tac 'b =
match l with
| [] -> raise NoInst
| x::xs -> (fun () -> f x) `or_else` (fun () -> first f xs)
(*
tcresolve': the main typeclass instantiation function.
seen : a list of goals we've seen already in this path of the search,
used to prevent loops
glb : a list of all global instances in scope, for all classes
fuel : amount of steps we allow in this path, we stop if we reach zero
head_fv : the head of the goal we're trying to solve, i.e. the class name
TODO: some form of memoization
*) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
head_fv: FStar.Stubs.Reflection.Types.fv ->
seen: Prims.list FStar.Tactics.NamedView.term ->
glb: Prims.list FStar.Stubs.Reflection.Types.fv ->
fuel: Prims.int ->
_: Prims.unit
-> FStar.Tactics.Effect.Tac Prims.unit | FStar.Tactics.Effect.Tac | [] | [
"tcresolve'",
"local",
"global",
"trywith"
] | [
"FStar.Stubs.Reflection.Types.fv",
"Prims.list",
"FStar.Tactics.NamedView.term",
"Prims.int",
"Prims.unit",
"FStar.Tactics.Typeclasses.first",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.Typeclasses.trywith",
"FStar.Tactics.NamedView.pack",
"FStar.Tactics.NamedView.Tv_Var",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_namedv",
"FStar.Stubs.Reflection.V2.Data.__proj__Mkbinding__item__sort",
"FStar.Stubs.Reflection.V2.Data.binding",
"FStar.Stubs.Reflection.V2.Builtins.vars_of_env",
"FStar.Stubs.Reflection.Types.env",
"FStar.Tactics.V2.Derived.cur_env"
] | [
"mutual recursion"
] | false | true | false | false | false | let rec local (head_fv: fv) (seen: list term) (glb: list fv) (fuel: int) () : Tac unit =
| let bs = vars_of_env (cur_env ()) in
first (fun (b: binding) -> trywith head_fv seen glb fuel (pack (Tv_Var b)) b.sort) bs | false |
FStar.Tactics.Typeclasses.fst | FStar.Tactics.Typeclasses.trywith | val trywith (head_fv: fv) (seen: list term) (glb: list fv) (fuel: int) (t typ: term) : Tac unit | val trywith (head_fv: fv) (seen: list term) (glb: list fv) (fuel: int) (t typ: term) : Tac unit | let rec tcresolve' (seen : list term) (glb : list fv) (fuel : int) : Tac unit =
if fuel <= 0 then
raise NoInst;
debug (fun () -> "fuel = " ^ string_of_int fuel);
let g = cur_goal () in
(* Try to detect loops *)
if L.existsb (Reflection.V2.TermEq.term_eq g) seen then (
debug (fun () -> "loop");
raise NoInst
);
match head_of g with
| None ->
debug (fun () -> "goal does not look like a typeclass");
raise NoInst
| Some head_fv ->
(* ^ Maybe should check is this really is a class too? *)
let seen = g :: seen in
local head_fv seen glb fuel
`or_else`
global head_fv seen glb fuel
and local (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
let bs = vars_of_env (cur_env ()) in
first (fun (b:binding) ->
trywith head_fv seen glb fuel (pack (Tv_Var b)) b.sort)
bs
and global (head_fv : fv) (seen : list term) (glb : list fv) (fuel : int) () : Tac unit =
first (fun fv ->
let typ = tc (cur_env()) (pack (Tv_FVar fv)) in // FIXME: a bit slow.. but at least it's a simple fvar
trywith head_fv seen glb fuel (pack (Tv_FVar fv)) typ)
glb
and trywith (head_fv : fv) (seen:list term) (glb : list fv) (fuel:int) (t typ : term) : Tac unit =
debug (fun () -> "trywith " ^ term_to_string t);
match head_of (res_typ typ) with
| None ->
debug (fun () -> "no head for typ of this? " ^ term_to_string t ^ " typ=" ^ term_to_string typ);
raise NoInst
| Some fv' ->
if fv_eq fv' head_fv
then (
debug (fun () -> "Trying to apply hypothesis/instance: " ^ term_to_string t);
(fun () -> apply_noinst t) `seq` (fun () ->
debug (fun () -> dump "next"; "apply seems to have worked");
tcresolve' seen glb (fuel-1))
) else (
debug (fun () -> "different class: " ^ fv_to_string fv' ^ " <> " ^ fv_to_string head_fv);
raise NoInst
) | {
"file_name": "ulib/FStar.Tactics.Typeclasses.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 7,
"end_line": 148,
"start_col": 0,
"start_line": 95
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.Typeclasses
open FStar.Reflection.V2
open FStar.Stubs.Tactics.Common
open FStar.Tactics.Effect
open FStar.Stubs.Tactics.V2.Builtins
open FStar.Tactics.V2.SyntaxHelpers
open FStar.Tactics.V2.Derived
open FStar.Tactics.V2.SyntaxCoercions
open FStar.Tactics.NamedView
(* Thunked version of debug *)
let debug (f : unit -> Tac string) : Tac unit =
if debugging () then
print (f ())
module L = FStar.List.Tot.Base
let (@) = L.op_At
(* The attribute that marks classes *)
irreducible
let tcclass : unit = ()
(* The attribute that marks instances *)
irreducible
let tcinstance : unit = ()
(* The attribute that marks class fields
to signal that no method should be generated for them *)
irreducible
let no_method : unit = ()
val fv_eq : fv -> fv -> Tot bool
let fv_eq fv1 fv2 =
let n1 = inspect_fv fv1 in
let n2 = inspect_fv fv2 in
n1 = n2
let rec head_of (t:term) : Tac (option fv) =
(* NB: must use `inspect` to make use of unionfind graph.
inspect_ln won't work. *)
match inspect t with
| Tv_FVar fv
| Tv_UInst fv _ -> Some fv
| Tv_App h _ -> head_of h
| v -> None
let rec res_typ (t:term) : Tac term =
match inspect t with
| Tv_Arrow _ c -> (
match inspect_comp c with
| C_Total t -> res_typ t
| _ -> t
)
| _ -> t
(* Would be good to use different exceptions for each reason
the search stops, but it takes some work to properly account
for them and report proper errors. *)
exception NoInst
private
let rec first (f : 'a -> Tac 'b) (l : list 'a) : Tac 'b =
match l with
| [] -> raise NoInst
| x::xs -> (fun () -> f x) `or_else` (fun () -> first f xs)
(*
tcresolve': the main typeclass instantiation function.
seen : a list of goals we've seen already in this path of the search,
used to prevent loops
glb : a list of all global instances in scope, for all classes
fuel : amount of steps we allow in this path, we stop if we reach zero
head_fv : the head of the goal we're trying to solve, i.e. the class name
TODO: some form of memoization
*) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.SyntaxHelpers.fst.checked",
"FStar.Tactics.V2.SyntaxCoercions.fst.checked",
"FStar.Tactics.V2.Derived.fst.checked",
"FStar.Tactics.Util.fst.checked",
"FStar.Tactics.NamedView.fsti.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Stubs.Tactics.V2.Builtins.fsti.checked",
"FStar.Stubs.Tactics.Common.fsti.checked",
"FStar.Reflection.V2.TermEq.fst.checked",
"FStar.Reflection.V2.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Base.fst.checked"
],
"interface_file": true,
"source_file": "FStar.Tactics.Typeclasses.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot.Base",
"short_module": "L"
},
{
"abbrev": false,
"full_module": "FStar.Tactics.NamedView",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxCoercions",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.Derived",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.V2.SyntaxHelpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.V2.Builtins",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Tactics.Common",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Reflection.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Stubs.Reflection.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.Effect",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
head_fv: FStar.Stubs.Reflection.Types.fv ->
seen: Prims.list FStar.Tactics.NamedView.term ->
glb: Prims.list FStar.Stubs.Reflection.Types.fv ->
fuel: Prims.int ->
t: FStar.Tactics.NamedView.term ->
typ: FStar.Tactics.NamedView.term
-> FStar.Tactics.Effect.Tac Prims.unit | FStar.Tactics.Effect.Tac | [] | [
"tcresolve'",
"local",
"global",
"trywith"
] | [
"FStar.Stubs.Reflection.Types.fv",
"Prims.list",
"FStar.Tactics.NamedView.term",
"Prims.int",
"FStar.Tactics.Effect.raise",
"Prims.unit",
"FStar.Tactics.Typeclasses.NoInst",
"FStar.Tactics.Typeclasses.debug",
"Prims.op_Hat",
"Prims.string",
"FStar.Stubs.Tactics.V2.Builtins.term_to_string",
"FStar.Tactics.Typeclasses.fv_eq",
"FStar.Tactics.V2.Derived.seq",
"FStar.Tactics.V2.Derived.apply_noinst",
"FStar.Tactics.Typeclasses.tcresolve'",
"Prims.op_Subtraction",
"FStar.Stubs.Tactics.V2.Builtins.dump",
"Prims.bool",
"FStar.Reflection.V2.Derived.fv_to_string",
"FStar.Pervasives.Native.option",
"FStar.Tactics.Typeclasses.head_of",
"FStar.Tactics.Typeclasses.res_typ"
] | [
"mutual recursion"
] | false | true | false | false | false | let rec trywith (head_fv: fv) (seen: list term) (glb: list fv) (fuel: int) (t typ: term) : Tac unit =
| debug (fun () -> "trywith " ^ term_to_string t);
match head_of (res_typ typ) with
| None ->
debug (fun () -> "no head for typ of this? " ^ term_to_string t ^ " typ=" ^ term_to_string typ);
raise NoInst
| Some fv' ->
if fv_eq fv' head_fv
then
(debug (fun () -> "Trying to apply hypothesis/instance: " ^ term_to_string t);
(fun () -> apply_noinst t)
`seq`
(fun () ->
debug (fun () ->
dump "next";
"apply seems to have worked");
tcresolve' seen glb (fuel - 1)))
else
(debug (fun () -> "different class: " ^ fv_to_string fv' ^ " <> " ^ fv_to_string head_fv);
raise NoInst) | false |
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